ุชููู
ู
ุน ุงูุฐูุงุก ุงูุงุตุทูุงุนู
Deck 4: Exponential and Logarithmic Functions
ู
ูุก ุงูุดุงุดุฉ (f)
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Rewrite the logarithm 
in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)2.468
B)2.921
C)11.060
D)5.684
E)0.342
using the change of base formula. Round to 3 decimal places.A)2.468
B)2.921
C)11.060
D)5.684
E)0.342
ุณุคุงู
Find the exact value of 
without using a calculator.
A)
B)
C)
D)-1
E)
without using a calculator.A)
B)
C)
D)-1
E)
ุณุคุงู
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is 
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.
A)3.67 g
B)4.00 g
C)0.25 g
D)0.92 g
E)0.00 g
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.A)3.67 g
B)4.00 g
C)0.25 g
D)0.92 g
E)0.00 g
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)-12.354
B)0.089
C)0.039
D)-0.098
E)-0.081
using the change of base formula. Round to 3 decimal places.A)-12.354
B)0.089
C)0.039
D)-0.098
E)-0.081
ุณุคุงู
Write the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Identify the value of the function 
at 
. Round to 3 decimal places.
A)2.061
B)4.745
C)3.061
D)3.561
E)2.561
at . Round to 3 decimal places.A)2.061
B)4.745
C)3.061
D)3.561
E)2.561
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places.
A)4.190
B)4.590
C)14.611
D)5.412
E)2.890
at . Round to 3 decimal places.A)4.190
B)4.590
C)14.611
D)5.412
E)2.890
ุณุคุงู
What is the value of the function 
at 
? Round to 3 decimal places.
A)26.822
B)99.373
C)45.553
D)599.708
E)7.721
at ? Round to 3 decimal places.A)26.822
B)99.373
C)45.553
D)599.708
E)7.721
ุณุคุงู
Simplify the expression 
.
A)The expression cannot be simplified.
B)2
C)3
D)-3
E)-9
.A)The expression cannot be simplified.
B)2
C)3
D)-3
E)-9
ุณุคุงู
Rewrite the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
Solve the equation 
for x using the One-to-One Property.
A)-9
B)-11
C)11
D)0
E)The equation has no solution.
for x using the One-to-One Property.A)-9
B)-11
C)11
D)0
E)The equation has no solution.
ุณุคุงู
Rewrite the logarithmic equation 
in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ุณุคุงู
Rewrite the logarithm 
in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places. (You may use your calculator.)
A)-2.241
B)undefined
C)1.707
D)4.272
E)-1.707
at . Round to 3 decimal places. (You may use your calculator.)A)-2.241
B)undefined
C)1.707
D)4.272
E)-1.707
ุณุคุงู
Simplify the expression 
.
A)9
B)
C)
D)The expression cannot be simplified.
E)
.A)9
B)
C)
D)The expression cannot be simplified.
E)
ุณุคุงู
Identify the x-intercept of the function 
.
A)
B)
C)
D)The function has no x-intercept.
E)
.A)
B)
C)
D)The function has no x-intercept.
E)
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places.
A)2.700
B)2.075
C)2.250
D)5.203
E)2.415
at . Round to 3 decimal places.A)2.700
B)2.075
C)2.250
D)5.203
E)2.415
ุณุคุงู
Solve the equation 
for x using the One-to-One Property.
A)-1
B)-101
C)-99
D)The equation has no solution.
E)101
for x using the One-to-One Property.A)-1
B)-101
C)-99
D)The equation has no solution.
E)101
ุณุคุงู
Rewrite the logarithm 
in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
ุณุคุงู
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.4, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places. (You may use your calculator.)
A)2.079
B)-13.038
C)13.038
D)-6.125
E)undefined
at . Round to 3 decimal places. (You may use your calculator.)A)2.079
B)-13.038
C)13.038
D)-6.125
E)undefined
ุณุคุงู
Rewrite the logarithmic equation 
in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ุณุคุงู
Solve for x: 
. Round to 3 decimal places.
A)0.663
B)1.362
C)3.663
D)-1.362
E)no solution
. Round to 3 decimal places.A)0.663
B)1.362
C)3.663
D)-1.362
E)no solution
ุณุคุงู
Use the One-to-One Property to solve the following equation for x. 
A)
B)
C)
D)
E)2
A)
B)
C)
D)
E)2
ุณุคุงู
Simplify the expression 
.
A)
B)
C)3
D)
E)The expression cannot be simplified.
.A)
B)
C)3
D)
E)The expression cannot be simplified.
ุณุคุงู
Rewrite the logarithm 
in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
ุณุคุงู
ุณุคุงู
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is 
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.
A)0.00 g
B)4.00 g
C)0.92 g
D)3.67 g
E)0.25 g
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.A)0.00 g
B)4.00 g
C)0.92 g
D)3.67 g
E)0.25 g
ุณุคุงู
What is the value of the function 
at 
? Round to 3 decimal places.
A)76.822
B)136.659
C)451.920
D)163.610
E)38.606
at ? Round to 3 decimal places.A)76.822
B)136.659
C)451.920
D)163.610
E)38.606
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)-0.154
B)0.323
C)-0.355
D)3.093
E)0.390
using the change of base formula. Round to 3 decimal places.A)-0.154
B)0.323
C)-0.355
D)3.093
E)0.390
ุณุคุงู
Write the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)0.402
B)2.485
C)9.411
D)4.836
E)2.100
using the change of base formula. Round to 3 decimal places.A)0.402
B)2.485
C)9.411
D)4.836
E)2.100
ุณุคุงู
Identify the value of the function 
at 
. Round to 3 decimal places.
A)6.572
B)3.354
C)2.854
D)3.854
E)4.354
at . Round to 3 decimal places.A)6.572
B)3.354
C)2.854
D)3.854
E)4.354
ุณุคุงู
Rewrite the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
Find the exact value of 
without using a calculator.
A)3
B)2
C)1.5
D)0.75
E)1
without using a calculator.A)3
B)2
C)1.5
D)0.75
E)1
ุณุคุงู
Identify the x-intercept of the function 
.
A)
B)
C)
D)The function has no x-intercept.
E)
.A)
B)
C)
D)The function has no x-intercept.
E)
ุณุคุงู
Identify the value of the function 
at 
. Round to 3 decimal places.
A)2.618
B)3.118
C)3.618
D)4.118
E)6.028
at . Round to 3 decimal places.A)2.618
B)3.118
C)3.618
D)4.118
E)6.028
ุณุคุงู
Find the exact value of 
without using a calculator.
A)1.25
B)2
C)3
D)2.5
E)5
without using a calculator.A)1.25
B)2
C)3
D)2.5
E)5
ุณุคุงู
Simplify the expression 
.
A)The expression cannot be simplified.
B)3
C)-6
D)1
E)-27
.A)The expression cannot be simplified.
B)3
C)-6
D)1
E)-27
ุณุคุงู
Solve the equation 
for x using the One-to-One Property.
A)11
B)-9
C)-11
D)0
E)The equation has no solution.
for x using the One-to-One Property.A)11
B)-9
C)-11
D)0
E)The equation has no solution.
ุณุคุงู
Solve for x: 
. Round to 3 decimal places.
A)1.362
B)-1.362
C)1.517
D)0.517
E)no solution
. Round to 3 decimal places.A)1.362
B)-1.362
C)1.517
D)0.517
E)no solution
ุณุคุงู
Rewrite the logarithmic equation 
in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ุณุคุงู
Write the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places.
A)5.287
B)4.680
C)20.055
D)2.572
E)1.690
at . Round to 3 decimal places.A)5.287
B)4.680
C)20.055
D)2.572
E)1.690
ุณุคุงู
Evaluate the function 
at 
. Round to 3 decimal places. (You may use your calculator.)
A)-2.928
B)3.391
C)-3.391
D)2.150
E)undefined
at . Round to 3 decimal places. (You may use your calculator.)A)-2.928
B)3.391
C)-3.391
D)2.150
E)undefined
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is 
Determine the quantity present after 300 years. Round to the nearest hundredth of a gram.
A)0.00 g
B)0.47 g
C)0.88 g
D)4.39 g
E)5.00 g
Determine the quantity present after 300 years. Round to the nearest hundredth of a gram.A)0.00 g
B)0.47 g
C)0.88 g
D)4.39 g
E)5.00 g
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
ุณุคุงู
Use the One-to-One Property to solve the following equation for x. 
A)2
B)
C)
D)
E)
A)2
B)
C)
D)
E)
ุณุคุงู
Rewrite the exponential equation 
in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ุณุคุงู
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Identify the x-intercept of the function 
.
A)
B)
C)
D)
E)The function has no x-intercept.
.A)
B)
C)
D)
E)The function has no x-intercept.
ุณุคุงู
What is the value of the function 
at 
? Round to 3 decimal places.
A)42.051
B)37.296
C)7.597
D)26.492
E)82.783
at ? Round to 3 decimal places.A)42.051
B)37.296
C)7.597
D)26.492
E)82.783
ุณุคุงู
Find the exact value of 
without using a calculator.
A)
B)
C)
D)
E)-1
without using a calculator.A)
B)
C)
D)
E)-1
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Graph the exponential function. 
A)
B)
C)
D)
A)
B)
C)
D)
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)3.738
B)0.521
C)1.921
D)7.273
E)1.623
using the change of base formula. Round to 3 decimal places.A)3.738
B)0.521
C)1.921
D)7.273
E)1.623
ุณุคุงู
Simplify the expression 
.
A)4
B)-12
C)1
D)-108
E)The expression cannot be simplified.
.A)4
B)-12
C)1
D)-108
E)The expression cannot be simplified.
ุณุคุงู
Graph the function using translations. 
A)
B)
C)
D)
A)
B)
C)
D)
ุณุคุงู
Rewrite the logarithm 
in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
ุณุคุงู
Graph the function. 
A)
B)
C)
D)
A)
B)
C)
D)
ุณุคุงู
Identify the graph of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
ุณุคุงู
Find the value of b that would cause the graph of y = bx to look like the graph indicated. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
ุณุคุงู
Find the exact value of 
without using a calculator.
A)
B)
C)
D)
E)-1
without using a calculator.A)
B)
C)
D)
E)-1
ุณุคุงู
Evaluate the logarithm 
using the change of base formula. Round to 3 decimal places.
A)0.630
B)-0.692
C)-1.745
D)-0.573
E)0.273
using the change of base formula. Round to 3 decimal places.A)0.630
B)-0.692
C)-1.745
D)-0.573
E)0.273
ุณุคุงู
Solve for x: 
. Round to 3 decimal places.
A)2.407
B)0.407
C)1.362
D)-1.362
E)no solution
. Round to 3 decimal places.A)2.407
B)0.407
C)1.362
D)-1.362
E)no solution
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
Use the One-to-One Property to solve the following equation for x. 
A)
B)
C)
D)
E)2
A)
B)
C)
D)
E)2
ุณุคุงู
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.2, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.2, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
ุณุคุงู
Condense the expression 
to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ุณุคุงู
ุณุคุงู
Simplify the expression 
.
A)
B)
C)6
D)
E)The expression cannot be simplified.
.A)
B)
C)6
D)
E)The expression cannot be simplified.
ุณุคุงู
Find the exact value of 
without using a calculator.
A)1.25
B)5
C)2
D)3
E)2.5
without using a calculator.A)1.25
B)5
C)2
D)3
E)2.5
ุณุคุงู
Rewrite the logarithm 
in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
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ูุก ุงูุดุงุดุฉ (f)
Deck 4: Exponential and Logarithmic Functions
1
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
2
Rewrite the logarithm in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
3
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)2.468
B)2.921
C)11.060
D)5.684
E)0.342
using the change of base formula. Round to 3 decimal places.A)2.468
B)2.921
C)11.060
D)5.684
E)0.342
2.921
4
Find the exact value of without using a calculator.
A)
B)
C)
D)-1
E)
without using a calculator.A)
B)
C)
D)-1
E)
ูุชุญ ุงูุญุฒู
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k this deck
5
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.
A)3.67 g
B)4.00 g
C)0.25 g
D)0.92 g
E)0.00 g
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.A)3.67 g
B)4.00 g
C)0.25 g
D)0.92 g
E)0.00 g
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
6
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)-12.354
B)0.089
C)0.039
D)-0.098
E)-0.081
using the change of base formula. Round to 3 decimal places.A)-12.354
B)0.089
C)0.039
D)-0.098
E)-0.081
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
7
Write the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
8
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
9
Identify the value of the function at . Round to 3 decimal places.
A)2.061
B)4.745
C)3.061
D)3.561
E)2.561
at . Round to 3 decimal places.A)2.061
B)4.745
C)3.061
D)3.561
E)2.561
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
10
Evaluate the function at . Round to 3 decimal places.
A)4.190
B)4.590
C)14.611
D)5.412
E)2.890
at . Round to 3 decimal places.A)4.190
B)4.590
C)14.611
D)5.412
E)2.890
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
11
What is the value of the function at ? Round to 3 decimal places.
A)26.822
B)99.373
C)45.553
D)599.708
E)7.721
at ? Round to 3 decimal places.A)26.822
B)99.373
C)45.553
D)599.708
E)7.721
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
12
Simplify the expression .
A)The expression cannot be simplified.
B)2
C)3
D)-3
E)-9
.A)The expression cannot be simplified.
B)2
C)3
D)-3
E)-9
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
13
Rewrite the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
14
Solve the equation for x using the One-to-One Property.
A)-9
B)-11
C)11
D)0
E)The equation has no solution.
for x using the One-to-One Property.A)-9
B)-11
C)11
D)0
E)The equation has no solution.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
15
Rewrite the logarithmic equation in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
16
Rewrite the logarithm in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
17
Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)
A)-2.241
B)undefined
C)1.707
D)4.272
E)-1.707
at . Round to 3 decimal places. (You may use your calculator.)A)-2.241
B)undefined
C)1.707
D)4.272
E)-1.707
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
18
Simplify the expression .
A)9
B)
C)
D)The expression cannot be simplified.
E)
.A)9
B)
C)
D)The expression cannot be simplified.
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
19
Identify the x-intercept of the function .
A)
B)
C)
D)The function has no x-intercept.
E)
.A)
B)
C)
D)The function has no x-intercept.
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
20
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
21
Evaluate the function at . Round to 3 decimal places.
A)2.700
B)2.075
C)2.250
D)5.203
E)2.415
at . Round to 3 decimal places.A)2.700
B)2.075
C)2.250
D)5.203
E)2.415
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
22
Solve the equation for x using the One-to-One Property.
A)-1
B)-101
C)-99
D)The equation has no solution.
E)101
for x using the One-to-One Property.A)-1
B)-101
C)-99
D)The equation has no solution.
E)101
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
23
Rewrite the logarithm in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
24
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
25
Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)
A)2.079
B)-13.038
C)13.038
D)-6.125
E)undefined
at . Round to 3 decimal places. (You may use your calculator.)A)2.079
B)-13.038
C)13.038
D)-6.125
E)undefined
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
26
Rewrite the logarithmic equation in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
27
Solve for x: . Round to 3 decimal places.
A)0.663
B)1.362
C)3.663
D)-1.362
E)no solution
. Round to 3 decimal places.A)0.663
B)1.362
C)3.663
D)-1.362
E)no solution
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
28
Use the One-to-One Property to solve the following equation for x.
A)
B)
C)
D)
E)2
A)
B)
C)
D)
E)2
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
29
Simplify the expression .
A)
B)
C)3
D)
E)The expression cannot be simplified.
.A)
B)
C)3
D)
E)The expression cannot be simplified.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
30
Rewrite the logarithm in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
31
An initial investment of $1000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment?
A)10.29 years
B)9.29 years
C)9.90 years
D)10.90 years
E)1 year
A)10.29 years
B)9.29 years
C)9.90 years
D)10.90 years
E)1 year
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
32
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.
A)0.00 g
B)4.00 g
C)0.92 g
D)3.67 g
E)0.25 g
Determine the quantity present after 200 years. Round to the nearest hundredth of a gram.A)0.00 g
B)4.00 g
C)0.92 g
D)3.67 g
E)0.25 g
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
33
What is the value of the function at ? Round to 3 decimal places.
A)76.822
B)136.659
C)451.920
D)163.610
E)38.606
at ? Round to 3 decimal places.A)76.822
B)136.659
C)451.920
D)163.610
E)38.606
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
34
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)-0.154
B)0.323
C)-0.355
D)3.093
E)0.390
using the change of base formula. Round to 3 decimal places.A)-0.154
B)0.323
C)-0.355
D)3.093
E)0.390
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
35
Write the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
36
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)0.402
B)2.485
C)9.411
D)4.836
E)2.100
using the change of base formula. Round to 3 decimal places.A)0.402
B)2.485
C)9.411
D)4.836
E)2.100
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
37
Identify the value of the function at . Round to 3 decimal places.
A)6.572
B)3.354
C)2.854
D)3.854
E)4.354
at . Round to 3 decimal places.A)6.572
B)3.354
C)2.854
D)3.854
E)4.354
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
38
Rewrite the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
39
Find the exact value of without using a calculator.
A)3
B)2
C)1.5
D)0.75
E)1
without using a calculator.A)3
B)2
C)1.5
D)0.75
E)1
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
40
Identify the x-intercept of the function .
A)
B)
C)
D)The function has no x-intercept.
E)
.A)
B)
C)
D)The function has no x-intercept.
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
41
Identify the value of the function at . Round to 3 decimal places.
A)2.618
B)3.118
C)3.618
D)4.118
E)6.028
at . Round to 3 decimal places.A)2.618
B)3.118
C)3.618
D)4.118
E)6.028
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
42
Find the exact value of without using a calculator.
A)1.25
B)2
C)3
D)2.5
E)5
without using a calculator.A)1.25
B)2
C)3
D)2.5
E)5
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
43
Simplify the expression .
A)The expression cannot be simplified.
B)3
C)-6
D)1
E)-27
.A)The expression cannot be simplified.
B)3
C)-6
D)1
E)-27
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
44
Solve the equation for x using the One-to-One Property.
A)11
B)-9
C)-11
D)0
E)The equation has no solution.
for x using the One-to-One Property.A)11
B)-9
C)-11
D)0
E)The equation has no solution.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
45
Solve for x: . Round to 3 decimal places.
A)1.362
B)-1.362
C)1.517
D)0.517
E)no solution
. Round to 3 decimal places.A)1.362
B)-1.362
C)1.517
D)0.517
E)no solution
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
46
Rewrite the logarithmic equation in exponential form.
A)
B)
C)
D)
E)
in exponential form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
47
Write the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
48
Evaluate the function at . Round to 3 decimal places.
A)5.287
B)4.680
C)20.055
D)2.572
E)1.690
at . Round to 3 decimal places.A)5.287
B)4.680
C)20.055
D)2.572
E)1.690
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
49
Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)
A)-2.928
B)3.391
C)-3.391
D)2.150
E)undefined
at . Round to 3 decimal places. (You may use your calculator.)A)-2.928
B)3.391
C)-3.391
D)2.150
E)undefined
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
50
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
51
Let Q represent a mass of radioactive radium (226Ra) (in grams), whose half-life is 1599 years. The quantity of radium present after t years is Determine the quantity present after 300 years. Round to the nearest hundredth of a gram.
A)0.00 g
B)0.47 g
C)0.88 g
D)4.39 g
E)5.00 g
Determine the quantity present after 300 years. Round to the nearest hundredth of a gram.A)0.00 g
B)0.47 g
C)0.88 g
D)4.39 g
E)5.00 g
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
52
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
53
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
54
Use the One-to-One Property to solve the following equation for x.
A)2
B)
C)
D)
E)
A)2
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
55
Rewrite the exponential equation in logarithmic form.
A)
B)
C)
D)
E)
in logarithmic form.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
56
An initial investment of $6000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment?
A)9.90 years
B)1 year
C)10.29 years
D)10.90 years
E)9.29 years
A)9.90 years
B)1 year
C)10.29 years
D)10.90 years
E)9.29 years
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
57
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
58
Identify the x-intercept of the function .
A)
B)
C)
D)
E)The function has no x-intercept.
.A)
B)
C)
D)
E)The function has no x-intercept.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
59
What is the value of the function at ? Round to 3 decimal places.
A)42.051
B)37.296
C)7.597
D)26.492
E)82.783
at ? Round to 3 decimal places.A)42.051
B)37.296
C)7.597
D)26.492
E)82.783
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
60
Find the exact value of without using a calculator.
A)
B)
C)
D)
E)-1
without using a calculator.A)
B)
C)
D)
E)-1
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
61
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
62
Graph the exponential function.
A)
B)
C)
D)
A)
B)
C)
D)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
63
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)3.738
B)0.521
C)1.921
D)7.273
E)1.623
using the change of base formula. Round to 3 decimal places.A)3.738
B)0.521
C)1.921
D)7.273
E)1.623
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
64
Simplify the expression .
A)4
B)-12
C)1
D)-108
E)The expression cannot be simplified.
.A)4
B)-12
C)1
D)-108
E)The expression cannot be simplified.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
65
Graph the function using translations.
A)
B)
C)
D)
A)
B)
C)
D)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
66
Rewrite the logarithm in terms of the natural logarithm.
A)
B)
C)
D)
E)
in terms of the natural logarithm.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
67
Graph the function.
A)
B)
C)
D)
A)
B)
C)
D)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
68
Identify the graph of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
69
Find the value of b that would cause the graph of y = bx to look like the graph indicated.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
70
Find the exact value of without using a calculator.
A)
B)
C)
D)
E)-1
without using a calculator.A)
B)
C)
D)
E)-1
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
71
Evaluate the logarithm using the change of base formula. Round to 3 decimal places.
A)0.630
B)-0.692
C)-1.745
D)-0.573
E)0.273
using the change of base formula. Round to 3 decimal places.A)0.630
B)-0.692
C)-1.745
D)-0.573
E)0.273
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
72
Solve for x: . Round to 3 decimal places.
A)2.407
B)0.407
C)1.362
D)-1.362
E)no solution
. Round to 3 decimal places.A)2.407
B)0.407
C)1.362
D)-1.362
E)no solution
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
73
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
74
Use the One-to-One Property to solve the following equation for x.
A)
B)
C)
D)
E)2
A)
B)
C)
D)
E)2
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
75
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.2, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution. If a sample of rain has a pH of 3.2, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
76
Condense the expression to the logarithm of a single term.
A)
B)
C)
D)
E)
to the logarithm of a single term.A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
77
An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?
A)13.86 years
B)14.86 years
C)14.40 years
D)13.40 years
E)1 year
A)13.86 years
B)14.86 years
C)14.40 years
D)13.40 years
E)1 year
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
78
Simplify the expression .
A)
B)
C)6
D)
E)The expression cannot be simplified.
.A)
B)
C)6
D)
E)The expression cannot be simplified.
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
79
Find the exact value of without using a calculator.
A)1.25
B)5
C)2
D)3
E)2.5
without using a calculator.A)1.25
B)5
C)2
D)3
E)2.5
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
80
Rewrite the logarithm in terms of the common logarithm (base 10).
A)
B)
C)
D)
E)
in terms of the common logarithm (base 10).A)
B)
C)
D)
E)
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
ูุชุญ ุงูุญุฒู
ุฉ
k this deck
ูุชุญ ุงูุญุฒู
ุฉ
ุงูุชุญ ุงูููู ูููุตูู ุงูุจุทุงูุงุช ุงูุจุงูุบ ุนุฏุฏูุง 150 ูู ูุฐู ุงูู
ุฌู
ูุนุฉ.
