Question 1

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

Accepted Answer

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

Question 4

Solve the equation.
-

Accepted Answer

A)  3 
B)  -3 
C)    
D)    
A)  3 
B)  -3 
C)    
D)

Question 5

Graph the function.
-

Accepted Answer

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

Question 6

Rewrite the expression as a single logarithm.
-

Accepted Answer

A)    
B)    
C)    
D)    
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 
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 
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 
A)  0.7248 
B)  1.0048 
C)    
D)  0.5228

Question 10

Graph the function.
-

Accepted Answer

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

Question 11

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

Question 12

Find the value of the logarithmic function.
-

Accepted Answer

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

Question 15

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

Question 17

Simplify the expression.
-

Accepted Answer

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

Question 18

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

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

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. -

Equations, Inequalities, and Modeling

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The Trigonometric Functions

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The Conic Sections

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Basic Algebra Review

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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. -

Equations, Inequalities, and Modeling

Functions and Graphs

Polynomial and Rational Functions

The Trigonometric Functions

Trigonometric Identities and Conditional Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Matrices and Determinants

The Conic Sections

Sequences, Series, and Probability

Basic Algebra Review

Filters