Question 1

Select a scatter plot of the given data. ​
R             t             ​
​
​

Accepted Answer

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

Question 2

Graph the function using translations. ​   ​

Accepted Answer

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

Question 3

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 4

Write the logarithmic equation in exponential form. ​   ​

Accepted Answer

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

Question 5

Evaluate   at the indicated value of x.Round your result to three decimal places. ​   ​

Accepted Answer

A) 5.682 
B) 1.5 
C) -0.176 
D) -5.682 
E) 0.176 
A) 5.682 
B) 1.5 
C) -0.176 
D) -5.682 
E) 0.176

Question 6

After t years, the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth   of its value for the previous year.Find a model for V(t), the value of the van after t years. ​

Accepted Answer

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

Question 7

Select the graph of the function. ​   ​

Accepted Answer

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

Question 8

Select the graph of the function. ​   ​

Accepted Answer

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

Question 9

Write the logarithmic equation in exponential form. ​   ​

Accepted Answer

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

Question 10

Solve the equation.Round to 3 decimal places. ​
5x = 8
​

Accepted Answer

A) x = 1.415 
B) x = 2.292 
C) x = 6.724 
D) x = 2.526 
E) x = 1.292 
A) x = 1.415 
B) x = 2.292 
C) x = 6.724 
D) x = 2.526 
E) x = 1.292

Question 11

Match the graph with its exponential function. ​
​   ​

Accepted Answer

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

Question 12

Graph the function. ​   ​

Accepted Answer

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

Question 13

Identify the x-intercept of the function   .

Accepted Answer

A)    
B)    
C)    
D)    
E) The function has no x-intercept. 
A)    
B)    
C)    
D)    
E) The function has no x-intercept.

Question 14

Select the correct graph for the given function ​
​   ​

Accepted Answer

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

Question 15

Condense the expression to the logarithm of a single quantity. ​
Ln 8 + ln x
​

Accepted Answer

A) ln x8 
B) ln 8x 
C)    
D) ln 8x 
E) ln 8 × ln x 
A) ln x8 
B) ln 8x 
C)    
D) ln 8x 
E) ln 8 × ln x

Question 16

The population P of a culture of bacteria is described by the equation   , where t is the time, in hours, relative to the time at which the population was 1600.
(a) What was the population at   hours? Show your work.
(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.

Accepted Answer

@#IMG-DLM& = @#IMG-DLM& = @#IMG-DLM& ≈ @#IMG-DLM& ​
​
(b) @#IMG-DLM& =

Question 17

Select the graph of the exponential function. ​   ​

Accepted Answer

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

Question 18

Rewrite the logarithm as a ratio of natural logarithms. ​
Log5 19
​

Accepted Answer

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

Question 19

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

Accepted Answer

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

Question 20

Sketch the graph of the function
​
​   ​

Accepted Answer

The answer of Sketch the graph of the function
​
​ ...

Select a scatter plot of the given data. R t

Graph the function using translations.

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

Write the logarithmic equation in exponential form.

Evaluate at the indicated value of x.Round your result to three decimal places.

After t years, the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth of its value for the previous year.Find a model for V(t), the value of the van after t years.

Select the graph of the function.

Select the graph of the function.

Write the logarithmic equation in exponential form.

Solve the equation.Round to 3 decimal places. 5^x = 8

Match the graph with its exponential function.

Graph the function.

Identify the x-intercept of the function .

Select the correct graph for the given function

Condense the expression to the logarithm of a single quantity. Ln 8 + ln x

Select the graph of the exponential function.

Rewrite the logarithm as a ratio of natural logarithms. Log₅ 19

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

Sketch the graph of the function

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Exam 5: Exponential-And-Logarithmic-Functions

Select a scatter plot of the given data. ​ R t ​ ​ ​

Graph the function using translations. ​ ​

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

Write the logarithmic equation in exponential form. ​ ​

Evaluate at the indicated value of x.Round your result to three decimal places. ​ ​

After t years, the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth of its value for the previous year.Find a model for V(t), the value of the van after t years. ​

Select the graph of the function. ​ ​

Select the graph of the function. ​ ​

Write the logarithmic equation in exponential form. ​ ​

Solve the equation.Round to 3 decimal places. ​ 5x = 8 ​

Match the graph with its exponential function. ​ ​ ​

Graph the function. ​ ​

Identify the x-intercept of the function .

Select the correct graph for the given function ​ ​ ​

Condense the expression to the logarithm of a single quantity. ​ Ln 8 + ln x ​

Select the graph of the exponential function. ​ ​

Rewrite the logarithm as a ratio of natural logarithms. ​ Log5 19 ​

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

Sketch the graph of the function ​ ​ ​

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Select a scatter plot of the given data. R t

Graph the function using translations.

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

Write the logarithmic equation in exponential form.

Evaluate at the indicated value of x.Round your result to three decimal places.

After t years, the value of a wheelchair conversion van that originally cost $39,000 depreciates so that each year it is worth of its value for the previous year.Find a model for V(t), the value of the van after t years.

Select the graph of the function.

Select the graph of the function.

Write the logarithmic equation in exponential form.

Solve the equation.Round to 3 decimal places. 5^x = 8

Match the graph with its exponential function.

Graph the function.

Select the correct graph for the given function

Condense the expression to the logarithm of a single quantity. Ln 8 + ln x

Select the graph of the exponential function.

Rewrite the logarithm as a ratio of natural logarithms. Log₅ 19

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

Sketch the graph of the function