Question 1

Find the value of the logarithmic function.
-log(0.001)
A) -2
B) -3
C) 0
D) 3

Accepted Answer

The logarithm of 0.001 (which is 1/1000 or 10^-3) in base 10 is -3.

Question 2

Find the value of the logarithmic function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 3

Solve the problem.
-The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by  , where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 3.
A) 7100; 85,200
B) 7100; 454,400
C) 7100; 1,817,600
D) 28,400; 454,400

Accepted Answer

The answer of Solve the problem.
-The number of dislocated electric...

Question 4

Find the value of the logarithmic function.
-
A) -49
B) 3
C) 49
D) -3

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 5

Determine the number that can be used in place of the question mark to make the equation true.
-
A) 2
B) 
C) No solution
D) -2

Accepted Answer

The answer of Determine the number that can be used...

Question 6

Solve the problem.
-The number of bacteria growing in an incubation culture increases with time according to  where x is time in days. Find the number of bacteria when x = 0 and x = 4.
A) 2000; 6,250,000
B) 2000; 40,000
C) 10,000; 1,250,000
D) 2000; 1,250,000

Accepted Answer

The answer of Solve the problem.
-The number of bacteria growing...

Question 7

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 8

Determine the number that can be used in place of the question mark to make the equation true.
-
A) 
B) -4
C) 3
D) 4

Accepted Answer

The answer of Determine the number that can be used...

Question 9

Find the value of the logarithmic function.
-
A) -1
B) 1
C) 0
D) 4

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 10

Find the value of the logarithmic function.
-ln(1)
A) 0
B) -1
C) 1
D) e

Accepted Answer

The natural logarithm of 1, denoted as ln(1), is equal to 0 because the exponent to which the base e (approximately 2.71828) must be raised to produce 1 is 0 (e^0 = 1).

Question 11

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 12

Find the value of the logarithmic function.
-
A) e ln(-3)
B) 1
C) 
D) -3

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 13

Find the value of the logarithmic function.
-
A) 3 ln(4)
B) 4
C) 
D) -4

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 14

Solve the problem.
-The decay of 517 mg of a radioactive substance is given by  where t is time in years. Find the amount left after 77 years.
A) 44
B) 43
C) 501
D) 22

Accepted Answer

The answer of Solve the problem.
-The decay of 517 mg...

Question 15

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 16

Find the value of the logarithmic function.
-
A) -8
B) -2
C) 8
D) 2

Accepted Answer

The answer of Find the value of the logarithmic function.
-
A)...

Question 17

Solve the problem.
-The growth in the population of a certain rodent at a dump site fits the exponential function  where t is the number of years since 1962. Estimate the population in the year 2000.
A) 764
B) 1527
C) 1558
D) 728

Accepted Answer

The answer of Solve the problem.
-The growth in the population...

Question 18

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 19

Graph the function.
-
A) 
B) 
C) 
D)

Accepted Answer

The answer of Graph the function.
-
A) 
B) 
C) 
D) ...

Question 20

Solve the problem.
-The sales of a mature product (one which has passed its peak) will decline by the function  where t is time in years. Find the sales after 4 years if a  (Round to the nearest whole number.)
A) 54,975
B) 7797
C) 31,402
D) 15,594

Accepted Answer

The answer of Solve the problem.
-The sales of a mature...

Quiz 4: Exponential and Logarithmic Functions

Find the value of the logarithmic function. -log(0.001)

Find the value of the logarithmic function. -

Solve the problem. -The number of dislocated electric impulses per cubic inch in a transformer when lightning strikes is given by , where x is the time in milliseconds of the lightning strike. Find the number of dislocated impulses at x = 0 and x = 3.

Find the value of the logarithmic function. -

Determine the number that can be used in place of the question mark to make the equation true. -

Solve the problem. -The number of bacteria growing in an incubation culture increases with time according to where x is time in days. Find the number of bacteria when x = 0 and x = 4.

Graph the function. -

Determine the number that can be used in place of the question mark to make the equation true. -

Find the value of the logarithmic function. -

Find the value of the logarithmic function. -ln(1)

Graph the function. -

Find the value of the logarithmic function. -

Find the value of the logarithmic function. -

Solve the problem. -The decay of 517 mg of a radioactive substance is given by where t is time in years. Find the amount left after 77 years.

Graph the function. -

Find the value of the logarithmic function. -

Solve the problem. -The growth in the population of a certain rodent at a dump site fits the exponential function where t is the number of years since 1962. Estimate the population in the year 2000.

Graph the function. -

Graph the function. -

Solve the problem. -The sales of a mature product (one which has passed its peak) will decline by the function where t is time in years. Find the sales after 4 years if a (Round to the nearest whole number.)