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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 />

Write the expression as a single logarithm.<br />

____ 73. 4 log x − 6 log (x + 2)<br />

a.<br />

x<br />

24 log<br />

x + 2<br />

c. log x(x + 2) 24<br />

b. log x 4 (x + 2) 6 d. none of these<br />

Expand the logarithmic expression.<br />

n<br />

____ 74. log 7<br />

2<br />

a. log 7<br />

n − log 7<br />

2 c. log 7<br />

2 − log 7<br />

n<br />

b.<br />

log 7<br />

n<br />

log 7<br />

2<br />

d. −n log 7<br />

2<br />

____ 75. log 3<br />

11p 3<br />

a. log 3<br />

11 ⋅ 3 log 3<br />

p c. log 3<br />

11 + 3 log 3<br />

p<br />

b. log 3<br />

11 − 3 log 3<br />

p d. 11 log 3<br />

p 3<br />

57<br />

____ 76. log b<br />

74<br />

1<br />

a.<br />

2 log 57 + 1 b<br />

2 log 74 c. log 57 − log 74<br />

b b b<br />

1<br />

b.<br />

2 log 57 − 1 b<br />

2 log 74 d. log 1<br />

b b<br />

(57 − 74)<br />

2<br />

____ 77. A construction explosion has an intensity I of 4.85×10 −2 W/m 2 . Find the loudness of the sound in decibels if<br />

L=10 log I<br />

I 0<br />

and I o<br />

= 10 −12 W/m 2 . Round to the nearest tenth.<br />

a. 146.9 decibels c. 106.9 decibels<br />

b. 115.8 decibels d. 48.5 decibels<br />

____ 78. Solve log(4x + 10) = 3.<br />

a. − 7 4<br />

b.<br />

495<br />

2<br />

c. 250 d. 990<br />

____ 79. Solve 3 log 2x= 4. Round to the nearest ten-thousandth.<br />

a. 10.7722 b. 5 c. 2.7826 d. 0.6309<br />

____ 80. Solve log 3x + log 9 = 0. Round to the nearest hundredth if necessary.<br />

a. 0.33 b. 0.04 c. 3 d. 27<br />

____ 81. Solve 2 log 4 − log 3 + 2 log x − 4 = 0. Round to the nearest ten-thousandth.<br />

a. 12.3308 b. 43.3013 c. 86.6025 d. 1875<br />

15

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