Question 1

Find the domain of the function.
-f(x) =

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Solve the problem. When needed, use 365 days per year and 30 days per month.
-An initial investment of $480 is appreciated for 8 years in an account that earns 2% interest, compounded continuously. Find the amount of money in the account at the end of the period.

Accepted Answer

A)  $616.33 
B)  $1820.96 
C)  $26,207.11 
D)  $563.29

Question 3

Write the equation as an equivalent exponential equation.
- = 4

Accepted Answer

A)   
B)   
C)   
D)

Question 4

Solve the equation.
-

Accepted Answer

A)  3 
B)  -3 
C)   
D)

Question 5

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Rewrite the expression as a single logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 7

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.)

Accepted Answer

A)  54,975 
B)  7797 
C)  31,402 
D)  15,594

Question 8

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.

Accepted Answer

A)  764 
B)  1527 
C)  1558 
D)  728

Question 9

Solve the equation. Round to four decimal places.
-

Accepted Answer

A)  0.7248 
B)  1.0048 
C)   
D)  0.5228

Question 10

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Rewrite the expression as a single logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 12

Find the value of the logarithmic function.
-

Accepted Answer

A)  e ln(-3) 
B)  1 
C)   
D)  -3

Question 13

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 14

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Rewrite the expression as a single logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

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

Accepted Answer

A)  2 
B)   
C)  No solution 
D)  -2

Question 17

Simplify the expression.
-

Accepted Answer

A)  1 
B)   
C)  2x + 9 
D)  3

Question 18

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Solve the problem.
-The half-life of an element is  yr. How long does it take a sample of the element to decay to  of its original mass? Use  where A0 is the initial amount, T is the half-life, and t is the time. (Express
Results in scientific notation, rounded to the nearest hundredth.)

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  1.900 
B)  -0.263 
C)  1.132 
D)  1.237

Exam 4: Exponential and Logarithmic Functions

Find the domain of the function. -f(x) =

Solve the problem. When needed, use 365 days per year and 30 days per month. -An initial investment of $480 is appreciated for 8 years in an account that earns 2% interest, compounded continuously. Find the amount of money in the account at the end of the period.

Write the equation as an equivalent exponential equation. - = 4

Solve the equation. -

Graph the function. -

Rewrite the expression as a single logarithm. -

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.)

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.

Solve the equation. Round to four decimal places. -

Graph the function. -

Rewrite the expression as a single logarithm. -

Find the value of the logarithmic function. -

Write the equation as an equivalent logarithmic equation. -

Rewrite the expression as a sum or difference of logarithms or multiples of logarithms. -

Rewrite the expression as a single logarithm. -

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

Simplify the expression. -

Write the equation as an equivalent logarithmic equation. -

Solve the problem. -The half-life of an element is yr. How long does it take a sample of the element to decay to of its original mass? Use where A0 is the initial amount, T is the half-life, and t is the time. (Express Results in scientific notation, rounded to the nearest hundredth.)

Solve the equation. Round your answer to three decimal places. -