Question 1

The following equation is in the form P = P0ekt. Solve the equation for the remaining variable. Remember, e is a
constant.
-

Accepted Answer

A)   
B)   
C)   
D)    C

Question 2

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.
-

Accepted Answer

A)   
B)   
C)   
D)    A

Question 3

Find the common logarithm of the number. Round answer to four decimal places.
-

Accepted Answer

A)   3.5117
B)   3.5104
C)   8.0861
D)   3.5131 A

Question 4

Evaluate.
-

Accepted Answer

A)   96
B)   6
C)   3
D)   9

Question 5

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same
axes.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the unknown value.
-

Accepted Answer

A)   243
B)   8
C)   15
D)   125

Question 7

Solve the problem.
-The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by  where x represents the concentration of the hydrogen ions in the
Solution in moles per liter. Find the hydrogen ion concentration if the pH = 12.

Accepted Answer

A)   
B)   0.08
C)   
D)   2.48

Question 8

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-log x = 2

Accepted Answer

A)   2000
B)   20
C)   100
D)   200

Question 9

For the given functions f and g , find the indicated composition.
-

Accepted Answer

A)   x
B)   x + 16
C)   4x + 24
D)   x - 2

Question 10

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve the problem.
-The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by  represents the concentration of the hydrogen ions in
The solution in moles per liter. Find the pH if the hydrogen ion concentration is

Accepted Answer

A)   9.28
B)   8.72
C)   9.72
D)   8.28

Question 12

Evaluate.
-

Accepted Answer

A)   
B)   
C)   -3
D)   3

Question 13

Approximate the value of x. Round to four decimal places.
-e

Accepted Answer

A)   7.6564
B)   -7.6564
C)   3.3251
D)   -3.3251

Question 14

Evaluate.
-

Accepted Answer

A)   8.82
B)   882
C)   20.5414
D)   88.2

Question 15

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-

Accepted Answer

A)   -11, -3
B)   53
C)   -7, 7
D)   -3, 11

Question 16

Find the power of 10. Round answers to six decimal places.
-

Accepted Answer

A)   0.052576
B)   0.001134
C)   1.970380
D)   882.063802

Question 17

Approximate the following value. Round to four decimal places.
-

Accepted Answer

A)   0.4404
B)   -2.229
C)   0.4868
D)   2.2705

Question 18

Write the equation in exponential form.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Solve the problem.
-Find out how long it takes a $2900 investment to earn $300 interest if it is invested at 9% compounded monthly. Round to the nearest tenth of a year. Use the formula

Accepted Answer

A)   1.5 yr
B)   1.1 yr
C)   1.3 yr
D)   0.9 yr

Question 20

Graph.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 13: Exponential and Logarithmic Functions

The following equation is in the form P = P0ekt. Solve the equation for the remaining variable. Remember, e is a constant. -

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same axes. -

Find the common logarithm of the number. Round answer to four decimal places. -

Evaluate. -

A one-to-one function f is given. Find f-1(x) and graph f(x) with a solid line and f-1(x) with a dotted line on the same axes. -

Find the unknown value. -

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. -log x = 2

For the given functions f and g , find the indicated composition. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Evaluate. -

Approximate the value of x. Round to four decimal places. -e

Evaluate. -

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. -

Find the power of 10. Round answers to six decimal places. -

Approximate the following value. Round to four decimal places. -

Write the equation in exponential form. -

Solve the problem. -Find out how long it takes a $2900 investment to earn $300 interest if it is invested at 9% compounded monthly. Round to the nearest tenth of a year. Use the formula

Graph. -