Question 1

Select the correct graph for the given function ​   ​

Accepted Answer

A) ​   
B) ​   
C) ​   
D) ​   
E) ​   
A) ​   
B) ​   
C) ​   
D) ​   
E) ​

Question 2

Solve for x:   .Round to 3 decimal places.

Accepted Answer

A) 0.517 
B) no solution 
C) 3.517 
D) -1.362 
E) 1.362 
A) 0.517 
B) no solution 
C) 3.517 
D) -1.362 
E) 1.362

Question 3

Rewrite the logarithm as a ratio of common logarithms. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E) None of these 
A)    
B)    
C)    
D)    
E) None of these

Question 4

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?

Accepted Answer

A)    
B)    
C) 7 
D)    
E)    
A)    
B)    
C) 7 
D)    
E)

Question 5

Evaluate   at the indicated value of x. ​   ​

Accepted Answer

A)    
B)    
C) -7 
D) 7 
E)    
A)    
B)    
C) -7 
D) 7 
E)

Question 6

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.

Accepted Answer

A) 0 g 
B) 0.47 g 
C) 5.00 g 
D) 4.39 g 
E) 0.88 g 
A) 0 g 
B) 0.47 g 
C) 5.00 g 
D) 4.39 g 
E) 0.88 g

Question 7

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Put the expressions in the appropriate order:   .

Accepted Answer

A)    
B)    
C) ​   
D)    
E) The expressions are equivalent. 
A)    
B)    
C) ​   
D)    
E) The expressions are equivalent.

Question 9

Use the One-to-One Property to solve the equation for x. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) ​   ​

Accepted Answer

A) 13.55 yr 
B) 10.55 yr 
C) 12.55 yr 
D) 9.55 yr 
E) 11.55 yr 
A) 13.55 yr 
B) 10.55 yr 
C) 12.55 yr 
D) 9.55 yr 
E) 11.55 yr

Question 11

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression   in terms of the logarithms of x and y. ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Find the exponential model   that fits the points shown in the graph. ​   ​

Accepted Answer

A)    
B)    
C)    
D) ​​   
E)    
A)    
B)    
C)    
D) ​​   
E)

Question 14

Write the logarithmic equation in exponential form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Condense the expression   to the logarithm of a single term.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Use the One-to-One Property to solve the equation for x. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Rewrite the exponential equation   in logarithmic form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Use the One-to-One Property to solve the equation for x. ​   ​

Accepted Answer

A)    
B) -2 
C)    
D)    
E)    
A)    
B) -2 
C)    
D)    
E)

Question 19

Solve for x.Approximate the result to three decimal places. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Select the correct graph for the given function

Solve for x: .Round to 3 decimal places.

Rewrite the logarithm as a ratio of common logarithms.

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?

Evaluate at the indicated value of x.

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.

Write the exponential equation in logarithmic form.

Put the expressions in the appropriate order: .

Use the One-to-One Property to solve the equation for x.

$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

Find the exponential model that fits the points shown in the graph.

Write the logarithmic equation in exponential form.

Condense the expression to the logarithm of a single term.

Use the One-to-One Property to solve the equation for x.

Rewrite the exponential equation in logarithmic form.

Use the One-to-One Property to solve the equation for x.

Solve for x.Approximate the result to three decimal places.

Write the exponential equation in logarithmic form.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Select the correct graph for the given function ​ ​

Solve for x: .Round to 3 decimal places.

Rewrite the logarithm as a ratio of common logarithms. ​ ​

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?

Evaluate at the indicated value of x. ​ ​

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.

Write the exponential equation in logarithmic form. ​ ​

Put the expressions in the appropriate order: .

Use the One-to-One Property to solve the equation for x. ​ ​

$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) ​ ​

Solve the logarithmic equation algebraically.Approximate the result to three decimal places. ​ ​

Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x and y. ​

Find the exponential model that fits the points shown in the graph. ​ ​

Write the logarithmic equation in exponential form. ​ ​

Condense the expression to the logarithm of a single term.

Use the One-to-One Property to solve the equation for x. ​ ​

Rewrite the exponential equation in logarithmic form.

Use the One-to-One Property to solve the equation for x. ​ ​

Solve for x.Approximate the result to three decimal places. ​ ​

Write the exponential equation in logarithmic form. ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Select the correct graph for the given function

Rewrite the logarithm as a ratio of common logarithms.

Evaluate at the indicated value of x.

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.

Write the exponential equation in logarithmic form.

Use the One-to-One Property to solve the equation for x.

$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)

Solve the logarithmic equation algebraically.Approximate the result to three decimal places.

Assume that x, y and c are positive numbers.Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

Find the exponential model that fits the points shown in the graph.

Write the logarithmic equation in exponential form.

Use the One-to-One Property to solve the equation for x.

Use the One-to-One Property to solve the equation for x.

Solve for x.Approximate the result to three decimal places.

Write the exponential equation in logarithmic form.