Question 1

Solve the equation for x in terms of y: 1.2y = log

Accepted Answer

The answer of Solve the equation for x in terms...

Question 2

The work done by 1 kilogram sample of nitrogen as its volume changes from an initial value  
to a final value of  
during a constant temperature process is given by W = 3.2 ×  
ln  
.If such a sample expands from a volume of 3 liters to a volume of 5 liters,determine the work done by the gas.

Accepted Answer

The answer of The work done by 1 kilogram sample...

Question 3

A manufacturer's supply equation is p = log  
where q is the number of units supplied at price p per unit.At what price will the manufacturer supply 200 units?

Accepted Answer

The answer of A manufacturer's supply equation is p =...

Question 4

If the yeast has been decreasing by 80% hourly and the current amount is  
of the amount first measured,then the situation can be represented by  
=  
  
.Represent this equation in logarithmic form.What does t represent?

Accepted Answer

The answer of If the yeast has been decreasing by...

Question 5

Suppose an investment increases by 10% every year.Graph the number of years invested as a function of the multiplicative increase in original investment.Label the graph with the name of the function.

Accepted Answer

The answer of Suppose an investment increases by 10% every...

Question 6

If a car is depreciating by 12.5% each year and the current amount is 0.5 its original value,then the situation can be represented by 0.5 =  
  
.Represent this equation in logarithmic form.

Accepted Answer

The answer of If a car is depreciating by 12.5%...

Question 7

Solve for x: log(  
+ 4x + 104)= 2

Accepted Answer

The answer of Solve for x: log(  
+ 4x...

Question 8

Solve for x:  
y = 3

Accepted Answer

The answer of Solve for x:  
y = 3...

Question 9

Solve for x:  
x = 5

Accepted Answer

The answer of Solve for x:  
x = 5...

Question 10

Solve for x:  
(2x + 3)= 2

Accepted Answer

The answer of Solve for x:  
(2x + 3)=...

Question 11

Find the domain of y =  
(x + 1)

Accepted Answer

The answer of Find the domain of y = ...

Question 12

R = log  
gives the Richter Scale measurement of an earthquake with intensity I where  
is the intensity of a zero-level earthquake.Make a graph which converts the intensity of the earthquake as compared to a zero-level earthquake to the Richter Scale measurement.

Accepted Answer

The answer of R = log  
gives the Richter...

Question 13

If money is invested at 7% compounded annually and the current amount is 3 times the amount first invested,then the situation can be represented by 3 =  
.Represent this equation in logarithmic form.What does t represent?

Accepted Answer

The answer of If money is invested at 7% compounded...

Question 14

An earthquake measuring 5.8 on the Richter scale can be represented by  
where I is the intensity of the earthquake and  
is the intensity of a zero-level earthquake.Represent this equation in exponential form.

Accepted Answer

The answer of An earthquake measuring 5.8 on the Richter...

Question 15

Solve for x:  
3 =

Accepted Answer

The answer of Solve for x:  
3 = ...

Question 16

If the pH of a substance is 9.2,then the concentration of hydrogen ions h in gram-atoms per liter can be represented by 9.2 = log  
.Represent this equation in exponential form.

Accepted Answer

The answer of If the pH of a substance is...

Question 17

Suppose an investment triples every decade.Graph the number of decades invested as a function of the multiplicative increase in original investment.Label the graph with the name of the function.

Accepted Answer

The answer of Suppose an investment triples every decade.Graph the...

Question 18

How long will it take for $100 to amount to $200 at an interest rate of 10% compounded annually? Give your answer to 2 decimal places.

Accepted Answer

The answer of How long will it take for $100...

Question 19

Solve for x: log(98 - x +  
)= 2

Accepted Answer

The answer of Solve for x: log(98 - x +...

Question 20

If  
x =  
x,then a = b.

Accepted Answer

Example: x = 1,a = 7,b = 3.

Quiz 5: Exponential and Logarithmic Functions

Solve the equation for x in terms of y: 1.2y = log

The work done by 1 kilogram sample of nitrogen as its volume changes from an initial value to a final value of during a constant temperature process is given by W = 3.2 × ln .If such a sample expands from a volume of 3 liters to a volume of 5 liters,determine the work done by the gas.

A manufacturer's supply equation is p = log where q is the number of units supplied at price p per unit.At what price will the manufacturer supply 200 units?

If the yeast has been decreasing by 80% hourly and the current amount is of the amount first measured,then the situation can be represented by = .Represent this equation in logarithmic form.What does t represent?

Suppose an investment increases by 10% every year.Graph the number of years invested as a function of the multiplicative increase in original investment.Label the graph with the name of the function.

If a car is depreciating by 12.5% each year and the current amount is 0.5 its original value,then the situation can be represented by 0.5 = .Represent this equation in logarithmic form.

Solve for x: log( + 4x + 104)= 2

Solve for x: y = 3

Solve for x: x = 5

Solve for x: (2x + 3)= 2

Find the domain of y = (x + 1)

R = log gives the Richter Scale measurement of an earthquake with intensity I where is the intensity of a zero-level earthquake.Make a graph which converts the intensity of the earthquake as compared to a zero-level earthquake to the Richter Scale measurement.

If money is invested at 7% compounded annually and the current amount is 3 times the amount first invested,then the situation can be represented by 3 = .Represent this equation in logarithmic form.What does t represent?

An earthquake measuring 5.8 on the Richter scale can be represented by where I is the intensity of the earthquake and is the intensity of a zero-level earthquake.Represent this equation in exponential form.

Solve for x: 3 =

If the pH of a substance is 9.2,then the concentration of hydrogen ions h in gram-atoms per liter can be represented by 9.2 = log .Represent this equation in exponential form.

Suppose an investment triples every decade.Graph the number of decades invested as a function of the multiplicative increase in original investment.Label the graph with the name of the function.

How long will it take for $100 to amount to $200 at an interest rate of 10% compounded annually? Give your answer to 2 decimal places.

Solve for x: log(98 - x + )= 2

If x = x,then a = b.