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

Question 2

Rewrite the expression as a single logarithm.
-

Accepted Answer

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

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

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

Question 6

Simplify the expression.
-

Accepted Answer

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

Question 7

Graph the function.
-

Accepted Answer

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

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

Question 10

Write the equation as an equivalent logarithmic equation.
-

Accepted Answer

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)

Question 12

Find the value of x.
- = 1296

Accepted Answer

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)

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))

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

Question 16

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

Accepted Answer

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

Question 18

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

Accepted Answer

A)   
B)  -8 
C)   
D)  16

Question 19

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 20

Solve the equation.
-

Accepted Answer

A)   
B)  -3 
C)   
D)  3

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. -