Properties of Logarithms Answers
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21
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Which expression is equivalent to ?
A
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
B
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
C
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
D
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
22
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Which expression is equivalent to ?
A
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
B
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
C
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
D
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
23
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as , where and is the least intense sound a human ear can hear. Brandon is trying to take a nap, and he can barely hear his neighbor mowing the lawn. The sound intensity level that Brandon can hear is 10-10. Ahmad, Brandon’s neighbor that lives across the street, is mowing the lawn, and the sound intensity level of the mower is 10-4. How does Brandon’s sound intensity level compare to Ahmad’s mower?
A
Brandon’s sound intensity is the level of Ahmad’s mower.
B
Brandon’s sound intensity is the level of Ahmad’s mower.
C
Brandon’s sound intensity is 20 times the level of Ahmad’s mower.D
Brandon’s sound intensity is 80 times the level of Ahmad’s mower.24
What is rewritten using the power property?
A
log Subscript 15 Baseline 5
B
log Subscript 15 Baseline 6
C
2 log Subscript 15 Baseline 3
D
3 log Subscript 15 Baseline 2
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