Name: ______________________ Class: _________________ Date: _________ ID: A

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Ch. 3 - Exponential and Logarithmic Functions Quiz Review

____ 1. Match the graph with its exponential function.

a. y = 2-x - 3

b. y = -2 x + 3

c. y = 2 x + 3

d. y = 2 x - 3

e. y = -2 x - 3

Name: ______________________ ID: A

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____ 2. Select the graph of the function.

f x( ) = 5 x- 1

a. d.

b. e.

c.

Name: ______________________ ID: A

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____ 3. Select the graph of the function.

f x( ) = 6ex+ 7

a. d.

b. e.

c.

Name: ______________________ ID: A

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____ 4. Write the logarithmic equation in exponential form.

log8 64 = 2

a. 648 = 2b. 82 = 16c. 82 = 88d. 82 = 64e. 864 = 2

____ 5. Write the exponential equation in logarithmic form.

272 = 729

a. log27 729 = 2

b. log27 729 =1

2c. log729 27 = 2d. log27 729 = -2e. log27 2 = 729

____ 6. Use the properties of logarithms to simplify the expression.

log20 209

a. 0

b. -1

9

c.1

9d. -9e. 9

Name: ______________________ ID: A

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____ 7. Use the properties of logarithms to simplify the expression.

9log 9 24

a. 24b. 0

c. -1

24d. -24

e.1

24____ 8. Write the logarithmic equation in exponential form.

ln 257( ) = 5.549. . .

a. e5.549. . . = -257b. e5.549. . . = 257c. e-5.549. . . = -257

d. e5.549. . . =1

257e. e-5.549. . . = 257

____ 9. Write the exponential equation in logarithmic form.

e7 = 1096.633. . .

a. ln 1096.633. . . = -7

b. ln 1096.633. . . = -1

7c. ln 1096.633. . . = 7

d. ln 1096.633. . . =1

7e. ln 7 = 1096.633. . .

Name: ______________________ ID: A

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____ 10. Select the graph of the function.

f x( ) = log(x + 4)

a. d.

b. e.

c.

Name: ______________________ ID: A

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____ 11. Select the graph of the function.

f x( ) = ln(x + 9)

a. d.

b. e.

c.

Name: ______________________ ID: A

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____ 12. Rewrite the logarithm as a ratio of common logarithms.

log5 17

a.log5

log17

b. log17

5

c.log17

log5

d. log5

17e. None of these

____ 13. Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume all variables are positive.)

log2x4y

a. log2 ¥ 4 logx ¥ logyb. log2 + 4 logx - logyc. log2 + logx + 4 logyd. log2 + 4 logx + logy

e.log2

4 logx + logyÊËÁÁ

ˆ¯̃̃

Name: ______________________ ID: A

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____ 14. Condense the expression to the logarithm of a single quantity.

ln x - ln x + 6( ) + ln x - 6( )ÈÎÍÍÍÍ

˘˚˙̇̇˙

a. lnx - 6( )

x x + 6( )

b. lnx + 6( )

x x - 6( )

c. lnx x - 6( )

x + 6( )

d. lnx

x - 6( ) x + 6( )

e. lnx x + 6( )

x - 6( )

____ 15. Solve the exponential equation algebraically. Approximate the result to three decimal places.

e5x = ex2 - 14

a. -7, - 2b. 7, - 2c. 5, - 14d. 7, 2e. -7, 2

Name: ______________________ ID: A

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____ 16. Solve the exponential equation algebraically. Approximate the result to three decimal places.

2 3 xÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜ = 36

a.ln 3

ln 18ª 2.631

b.ln 18

ln 3ª -0.38

c.ln 18

ln 3ª -2.631

d.ln 18

ln 3ª 2.631

e.ln 18

ln 3ª 0.38

____ 17. Solve the exponential equation algebraically. Approximate the result to three decimal places.

ex - 8 = 12

a. ln 20 ª 2.485b. ln 20 ª 2.996c. ln 20 ª -2.485d. ln 20 ª 2.079e. ln 20 ª -2.996

Name: ______________________ ID: A

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____ 18. Solve the exponential equation algebraically. Approximate the result to three decimal places.

4 34 - xÊ

ËÁÁÁÁ

ˆ

¯˜̃̃˜ = 16

a. 4 -ln 4

ln 3ª 5.738

b. 4 -ln 4

ln 3ª 6.738

c. 4 -ln 4

ln 3ª 3.738

d. 4 -ln 4

ln 3ª 4.738

e. 4 -ln 4

ln 3ª 2.738

____ 19. Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

15 + 2 ln x = 2

a. e- 13 2

ª -1.998

b. e- 13 2

ª 1.002

c. e- 13 2

ª 2.002

d. e- 13 2

ª 0.002

e. e- 13 2

ª -0.998

Name: ______________________ ID: A

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____ 20. Solve the logarithmic equation algebraically. Approximate the result to three decimal places.

6 log3 0.5x( ) = 5

a. 2 35 6Ê

Ë

ÁÁÁÁÁÁˆ

¯

˜̃̃˜̃̃ ª 3.996

b. 2 35 6Ê

Ë

ÁÁÁÁÁÁˆ

¯

˜̃̃˜̃̃ ª 6.996

c. 2 35 6Ê

Ë

ÁÁÁÁÁÁˆ

¯

˜̃̃˜̃̃ ª 4.996

d. 2 35 6Ê

Ë

ÁÁÁÁÁÁˆ

¯

˜̃̃˜̃̃ ª 5.996

e. 2 35 6Ê

Ë

ÁÁÁÁÁÁˆ

¯

˜̃̃˜̃̃ ª 2.996

ID: A

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Ch. 3 - Exponential and Logarithmic Functions Quiz ReviewAnswer Section

1. ANS: C PTS: 1 REF: 3.1.14 2. ANS: A PTS: 1 REF: 3.1.21b 3. ANS: D PTS: 1 REF: 3.1.41b 4. ANS: D PTS: 1 REF: 3.2.7 5. ANS: A PTS: 1 REF: 3.2.16 6. ANS: E PTS: 1 REF: 3.2.33 7. ANS: A PTS: 1 REF: 3.2.36 8. ANS: B PTS: 1 REF: 3.2.55 9. ANS: C PTS: 1 REF: 3.2.59 10. ANS: B PTS: 1 REF: 3.2.79 11. ANS: E PTS: 1 REF: 3.2.82 12. ANS: C PTS: 1 REF: 3.3.7a 13. ANS: D PTS: 1 REF: 3.3.54 14. ANS: D PTS: 1 REF: 3.3.79 15. ANS: B PTS: 1 REF: 3.4.29 16. ANS: D PTS: 1 REF: 3.4.33 17. ANS: B PTS: 1 REF: 3.4.37 18. ANS: E PTS: 1 REF: 3.4.50 19. ANS: D PTS: 1 REF: 3.4.93 20. ANS: C PTS: 1 REF: 3.4.97