Question 1

Write the equation   in logarithmic form. ​

Accepted Answer

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

Question 2

Evaluate the function at the indicated value of   . ​   ​

Accepted Answer

A) -5 
B)    
C)    
D) 5 
E) 0 
A) -5 
B)    
C)    
D) 5 
E) 0

Question 3

The number y of hits a new search-engine website receives each month can be modeled by   where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months. ​

Accepted Answer

A)    ; About 184,894,691,979 hits 
B)    ; About 2,921,047 hits 
C)    ; About 22,832,533,585 hits 
D)    ; About 57,970,933 hits 
E)    ; About 1,150,488,266 hits 
A)    ; About 184,894,691,979 hits 
B)    ; About 2,921,047 hits 
C)    ; About 22,832,533,585 hits 
D)    ; About 57,970,933 hits 
E)    ; About 1,150,488,266 hits

Question 4

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

Accepted Answer

A) 10 
B) 11 
C) 9 
D) -9 
E) 12 
A) 10 
B) 11 
C) 9 
D) -9 
E) 12

Question 5

Find the exact value of the logarithmic expression without using a calculator. ​
Log6 216
​

Accepted Answer

A) 3 
B) 6 
C) 216 
D) 35 
E) None of these 
A) 3 
B) 6 
C) 216 
D) 35 
E) None of these

Question 6

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 7

Identify the graph of the function. ​

Accepted Answer

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

Question 8

Write the logarithmic equation   in exponential form.

Accepted Answer

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

Question 9

Condense the expression 3(log x - log y) to the logarithm of a single term.

Accepted Answer

A)    
B)    
C)    
D) 3(log x - log y) 
E)    
A)    
B)    
C)    
D) 3(log x - log y) 
E)

Question 10

What is the value of the function   at   ? Round to 3 decimal places.

Accepted Answer

A) 10.683 
B) 0.000 
C) -55.453 
D) 0.877 
E) 0.068 
A) 10.683 
B) 0.000 
C) -55.453 
D) 0.877 
E) 0.068

Question 11

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 12

The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by   where t represents the year, with   corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. ​

Accepted Answer

A) k = 0.03183 
B) k = 0.02863 
C) k = 0.02163 
D) k = 0.03453 
E) k = 0.03063 
A) k = 0.03183 
B) k = 0.02863 
C) k = 0.02163 
D) k = 0.03453 
E) k = 0.03063

Question 13

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 14

Write the exponential equation in logarithmic form. ​   ​

Accepted Answer

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

Question 15

Solve for x. ​   ​

Accepted Answer

A)    
B) 0.0001 
C)    
D)    
E) 1.386 
A)    
B) 0.0001 
C)    
D)    
E) 1.386

Question 16

Find the exact value of   without using a calculator.

Accepted Answer

A)    
B)    
C) ​   
D)    
E) -1 
A)    
B)    
C) ​   
D)    
E) -1

Question 17

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 18

The value V (in millions of dollars) of a famous painting can be modeled by   where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) ​

Accepted Answer

A) $674.61 million 
B) $874.61 million 
C) $474.61 million 
D) $774.61 million 
E) $574.61 million 
A) $674.61 million 
B) $874.61 million 
C) $474.61 million 
D) $774.61 million 
E) $574.61 million

Question 19

Condense the expression 7(log x - log y) to the logarithm of a single term.

Accepted Answer

A)    
B)    
C)    
D)    
E) 7(log x - log y) 
A)    
B)    
C)    
D)    
E) 7(log x - log y)

Question 20

Evaluate the function   at   .Round to 3 decimal places.

Accepted Answer

A) 1.690 
B) 2.031 
C) 3.637 
D) 9.477 
E) 3.510 
A) 1.690 
B) 2.031 
C) 3.637 
D) 9.477 
E) 3.510

Write the equation in logarithmic form.

Evaluate the function at the indicated value of .

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

Find the exact value of the logarithmic expression without using a calculator. Log₆ 216

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

Identify the graph of the function.

Write the logarithmic equation in exponential form.

Condense the expression 3(log x - log y) to the logarithm of a single term.

What is the value of the function at ? Round to 3 decimal places.

Identify the x-intercept of the function .

The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.

Write the exponential equation in logarithmic form.

Write the exponential equation in logarithmic form.

Solve for x.

Find the exact value of without using a calculator.

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

The value V (in millions of dollars) of a famous painting can be modeled by where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)

Condense the expression 7(log x - log y) to the logarithm of a single term.

Evaluate the function at .Round to 3 decimal places.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

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Exam 5: Exponential-And-Logarithmic-Functions

Write the equation in logarithmic form. ​

Evaluate the function at the indicated value of . ​ ​

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

Find the exact value of the logarithmic expression without using a calculator. ​ Log6 216 ​

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

Identify the graph of the function. ​

Write the logarithmic equation in exponential form.

Condense the expression 3(log x - log y) to the logarithm of a single term.

What is the value of the function at ? Round to 3 decimal places.

Identify the x-intercept of the function .

The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. ​

Write the exponential equation in logarithmic form. ​ ​

Write the exponential equation in logarithmic form. ​ ​

Solve for x. ​ ​

Find the exact value of without using a calculator.

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

The value V (in millions of dollars) of a famous painting can be modeled by where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) ​

Condense the expression 7(log x - log y) to the logarithm of a single term.

Evaluate the function at .Round to 3 decimal places.

Trigonometry

Analytic-Trigonometry

Additional-Topics-In-Trigonometry

Complex-Numbers

Topics-In-Analytic-Geometry

Prerequisites

Filters

Write the equation in logarithmic form.

Evaluate the function at the indicated value of .

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

Find the exact value of the logarithmic expression without using a calculator. Log₆ 216

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

Identify the graph of the function.

The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.

Write the exponential equation in logarithmic form.

Write the exponential equation in logarithmic form.

Solve for x.

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

The value V (in millions of dollars) of a famous painting can be modeled by where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)