Free Printable Unit 12 Test Review

1.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

2.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

3.

Rewrite in exponential form.

a)

A

b)

B

c)

C

d)

D

4.

Rewrite in logarithmic form.

a)

A

b)

B

c)

C

d)

D

5.

Rewrite in logarithmic form

a)

A

b)

B

c)

C

d)

D

6.

Evaluate

a)

A

b)

B

c)

C

d)

D

7.

Evaluate

a)

A

b)

B

c)

C

d)

D

8.

Evaluate

a)

A

b)

B

c)

C

d)

D

9.

Evaluate

\log_{32}2

a)

$16$

b)

$-5$

c)

$\frac{1}{16}$

d)

$\frac{1}{5}$

10.

Evaluate the logarithm

\log_{ }25

a)

$1.4$

b)

$3.219$

c)

$2.25$

d)

$25$

11.

Evaluate

$\ln\ 25$

a)

$1.4$

b)

$3.219$

c)

$-3.219$

d)

$25$

12.

Evaluate the logarithm

\log_636

(a)

13.

Evaluate

\log_364

a)

$-2.584$

b)

$3.7856$

c)

$1.485$

d)

$Undefined$

14.

Evaluate

\log_4-25

a)

$1.783$

b)

$-2.584$

c)

$3.249$

d)

$Undefined$

15.

Find the inverse of the function.

a)

A

b)

B

c)

C

d)

D

16.

Find the inverse of each function.

a)

A

b)

B

c)

C

d)

D

17.

Find the inverse of the function.

a)

A

b)

B

c)

C

d)

D

18.

Find the inverse of the function.

a)

A

b)

B

c)

C

d)

D

19.

Find the inverse of the function.

a)

A

b)

B

c)

C

d)

D

20.

Expand the logarithm.

a)

A

b)

B

c)

C

d)

D

21.

Expand the logarithm

a)

A

b)

B

c)

C

d)

D

22.

Expand the logarithm

a)

A

b)

B

c)

C

d)

D

23.

Expand the logarithm

a)

A

b)

B

c)

C

d)

D

24.

Expand the logarithm

a)

A

b)

B

c)

C

d)

D

25.

Condense the expression to a single logarithm

a)

A

b)

B

c)

C

d)

D

26.

Condense the expression to a single logarithm

a)

A

b)

B

c)

D

d)

D

27.

Condense the expression to a single logarithm

3\log_7y

a)

$\log_73y$

b)

$\log_37^y$

c)

$\log_7y^3$

d)

$\log_3y^7$

28.

Condense the expression to a single logarithm

a)

A

b)

B

c)

C

d)

D

29.

Condense the expression to a single logarithm

a)

A

b)

B

c)

C

d)

D

30.

Solve the equation

a)

-1

b)

1

c)

0

d)

2

31.

Solve the equation

a)

A

b)

B

c)

C

d)

D

32.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

33.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

34.

Solve the equation. Round your answer to the nearest ten-thousandth.

4^m=12

a)

No solution

b)

1

c)

1.7925

d)

0.5579

35.

Solve the equation. Round your answer to the nearest ten-thousandth, if needed.

a)

A

b)

B

c)

C

d)

D

36.

Solve the equation. Round your answer to the nearest ten-thousandth, if needed.

a)

A

b)

B

c)

C

d)

D

37.

Solve the equation

\log_{ }\left(-4m-5\right)\ =\ \log\ \left(-3m+4\right)

a)

$No\ solution$

b)

$9$

c)

$-9$

d)

$\frac{9}{7}$

38.

Solve the equation

a)

A

b)

B

c)

C

d)

D

39.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

40.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

41.

Solve the equation.

a)

A

b)

B

c)

C

d)

D

42.

Solve the equation.

\log_3x+\log_35=\log_312

a)

$\frac{5}{12}$

b)

$\frac{12}{5}$

c)

$7$

d)

$17$

43.

Solve the equation

a)

A

b)

B

c)

C

d)

D

44.

Solve the equation

3\log_4y=6

(a)

45.

Solve the equation, using the properties of logs as needed.

a)

A

b)

B

c)

C

d)

D

46.

Solve the equation, using properties of logs as needed.

\log30+3y\ =\ \log y^2+2y

a)

$\left\{0,\ 30\right\}$

b)

$\left\{-5,\ 6\right\}$

c)

$\left\{30\right\}$

d)

$\left\{-6,\ 5\right\}$

47.

$\log_42x^2-\log_42=4$ Solve the equation, applying properties of logs as needed.

a)

$\pm4$

b)

$\pm16$

c)

$4$

d)

$16$

Unit 12 Test Review

Total questions: 47

Worksheet time: 3hrs 20mins

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