Question 1

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  2.05 
B)  14.8 
C)  0.07 
D)  18.25 
A)  2.05 
B)  14.8 
C)  0.07 
D)  18.25

Question 2

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

Question 3

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  0 
B)  3.1 
C)  2.3 
D)  2.18 
A)  0 
B)  3.1 
C)  2.3 
D)  2.18

Question 4

Solve the problem. When needed, use 365 days per year and 30 days per month.
-An initial investment of $1000 is appreciated for 5 years in an account that earns 12% interest, compounded semiannually. Find the amount of money in the account at the end of the period.

Accepted Answer

A)  $1762.34 
B)  $790.85 
C)  $1689.48 
D)  $1790.85 
A)  $1762.34 
B)  $790.85 
C)  $1689.48 
D)  $1790.85

Question 5

Solve the following graphically. If necessary, round answers to the nearest thousandth.
-log(x + 2) - 3 =

Accepted Answer

A)  0.412, 3.649 
B)  No solution 
C)  0.443, 3.636 
D)  0.454, 3.659 
A)  0.412, 3.649 
B)  No solution 
C)  0.443, 3.636 
D)  0.454, 3.659

Question 6

Simplify the expression.
-

Accepted Answer

A)  6 ln(e) 
B)  1 
C)  6 
D)    
A)  6 ln(e) 
B)  1 
C)  6 
D)

Question 7

Graph the function.
-

Accepted Answer

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

Question 8

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

Accepted Answer

A)  -10.482 
B)  -8.782 
C)  -7.082 
D)  8.782 
A)  -10.482 
B)  -8.782 
C)  -7.082 
D)  8.782

Question 9

Solve the problem.
-If $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $9800 at 8%? Round to the nearest tenth.

Accepted Answer

A)  8.9 years 
B)  8.7 years 
C)  11.2 years 
D)  10.8 years 
A)  8.9 years 
B)  8.7 years 
C)  11.2 years 
D)  10.8 years

Question 10

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

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

Question 11

Write the equation of the graph in its final position.
-The graph of y =   is translated 7 units to the right and then 3 units upward.

Accepted Answer

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

Question 12

Find the value of x.
-  = 1296

Accepted Answer

A)  -5 
B)  5 
C)  4 
D)  -4 
A)  -5 
B)  5 
C)  4 
D)  -4

Question 13

Find the function value.
-Let f(x) =   . Find f(2).

Accepted Answer

A)  9 
B)    
C)    
D)    
A)  9 
B)    
C)    
D)

Question 14

Rewrite the expression in terms of log(2) and log(5).
-log(100)

Accepted Answer

A)  2 log(2) - 2 log(5) 
B)  3 log(2) + 2 log(5) 
C)  2 log(2) + 2 log(5) 
D)  (2 log(2))(2 log(5)) 
A)  2 log(2) - 2 log(5) 
B)  3 log(2) + 2 log(5) 
C)  2 log(2) + 2 log(5) 
D)  (2 log(2))(2 log(5))

Question 15

Solve the equation. Give an exact solution.
-log(x + 3) = 1 - log(x)

Accepted Answer

A)  -2 
B)  2 
C)  -2, 5 
D)  -5, 2 
A)  -2 
B)  2 
C)  -2, 5 
D)  -5, 2

Question 16

Find the function value.
-Let f(x) =   . Find f(3).

Accepted Answer

A)  18 
B)  729 
C)  46,656 
D)  216 
A)  18 
B)  729 
C)  46,656 
D)  216

Question 17

Find the value of the logarithmic function.
-

Accepted Answer

A)  -1 
B)  1 
C)  0 
D)  4 
A)  -1 
B)  1 
C)  0 
D)  4

Question 18

Find the function value.
-Let f(x) =   Find f(3).

Accepted Answer

A)    
B)  -8 
C)    
D)  16 
A)    
B)  -8 
C)    
D)  16

Question 19

Graph the function.
-

Accepted Answer

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

Question 20

Solve the equation.
-

Accepted Answer

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

Use a graphing calculator to solve the equation. Round to two decimal places. -

Rewrite the expression as a single logarithm. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Solve the problem. When needed, use 365 days per year and 30 days per month. -An initial investment of $1000 is appreciated for 5 years in an account that earns 12% interest, compounded semiannually. Find the amount of money in the account at the end of the period.

Solve the following graphically. If necessary, round answers to the nearest thousandth. -log(x + 2) - 3 =

Simplify the expression. -

Graph the function. -

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

Solve the problem. -If $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $9800 at 8%? Round to the nearest tenth.

Write the equation as an equivalent logarithmic equation. -

Write the equation of the graph in its final position. -The graph of y = is translated 7 units to the right and then 3 units upward.

Find the value of x. - = 1296

Find the function value. -Let f(x) = . Find f(2).

Rewrite the expression in terms of log(2) and log(5). -log(100)

Solve the equation. Give an exact solution. -log(x + 3) = 1 - log(x)

Find the function value. -Let f(x) = . Find f(3).

Find the value of the logarithmic function. -

Find the function value. -Let f(x) = Find f(3).

Graph the function. -

Solve the equation. -

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

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Exam 4: Exponential and Logarithmic Functions

Use a graphing calculator to solve the equation. Round to two decimal places. -

Rewrite the expression as a single logarithm. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Solve the problem. When needed, use 365 days per year and 30 days per month. -An initial investment of $1000 is appreciated for 5 years in an account that earns 12% interest, compounded semiannually. Find the amount of money in the account at the end of the period.

Solve the following graphically. If necessary, round answers to the nearest thousandth. -log(x + 2) - 3 =

Simplify the expression. -

Graph the function. -

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

Solve the problem. -If $4000 is invested in an account that pays interest compounded continuously, how long will it take to grow to $9800 at 8%? Round to the nearest tenth.

Write the equation as an equivalent logarithmic equation. -

Write the equation of the graph in its final position. -The graph of y = is translated 7 units to the right and then 3 units upward.

Find the value of x. - = 1296

Find the function value. -Let f(x) = . Find f(2).

Rewrite the expression in terms of log(2) and log(5). -log(100)

Solve the equation. Give an exact solution. -log(x + 3) = 1 - log(x)

Find the function value. -Let f(x) = . Find f(3).

Find the value of the logarithmic function. -

Find the function value. -Let f(x) = Find f(3).

Graph the function. -

Solve the equation. -

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