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ExamView - FINAL EXAM REVIEW 2011.tst

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<strong>FINAL</strong> <strong>EXAM</strong> <strong>REVIEW</strong> 2011<br />

Multiply.<br />

____ 63.<br />

2<br />

Ê ˆ<br />

−5 − 3<br />

Ë<br />

Á<br />

¯<br />

˜<br />

a. 28 + 10 3 c. −13 + 5 3<br />

b. 28 − 10 3 d. 25 − 10 3<br />

____ 64.<br />

Ê ˆ<br />

8 − 2<br />

Ë<br />

Á<br />

¯<br />

Ê<br />

Ë<br />

Á 9 + 5 ˆ<br />

¯<br />

˜<br />

a. 72 − 10 c. 72 − 2 10<br />

b. 72 + 8 5 − 9 2 − 10 d. 72 − 3 − 10<br />

____ 65. ( −2x + 6)<br />

5 = ( −8 + 10x)<br />

7<br />

a.<br />

b.<br />

6<br />

1<br />

1<br />

5<br />

2<br />

3<br />

c. − 1 4<br />

d.<br />

6<br />

7<br />

____ 66. Let f(x) = 3x + 2 and g(x) = x − 3. Find f(x) – g(x).<br />

a. 2x – 5 b. 2x + 5 c. 4x – 1 d. 2x – 1<br />

____ 67. Let f(x) = −2x − 7 and g(x) = −4x + 3. Find (f û g)(−5).<br />

a. 23 b. –53 c. –9 d. 3<br />

____ 68. How much money invested at 5% compounded continuously for 3 years will yield $820?<br />

a. $952.70 b. $818.84 c. $780.01 d. $705.78<br />

Write the equation in logarithmic form.<br />

____ 69. 6 4 = 1, 296<br />

a. log 6<br />

1, 296=4 c. log 1, 296 = 4 ⋅ 6<br />

b. log 1, 296=4 d. log 4<br />

1, 296=6<br />

____ 70. Write the equation log 32<br />

8= 3 in exponential form.<br />

5<br />

3<br />

3<br />

a.<br />

5<br />

32 = 8 b.<br />

5<br />

8 = 32 c.<br />

Ê 3 ˆ<br />

Ë<br />

Á 5 ¯<br />

˜<br />

32<br />

5<br />

= 8 d.<br />

3<br />

8 = 32<br />

State the property or properties of logarithms used to rewrite the expression.<br />

____ 71. log 5<br />

6 − log 5<br />

2 = log 5<br />

3<br />

a. Quotient Property c. Difference Property<br />

b. Product Property d. Power Property<br />

____ 72. log 4<br />

7 + log 4<br />

2 = log 4<br />

14<br />

a. Quotient Property c. Addition Property<br />

b. Power Property d. Product Property<br />

14

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