Properties of Logarithms

Question 1

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. What is the approximate loudness of a dinner conversation with a sound intensity of 10–7?

Revolt · Accepted Answer

50 Db

Question 2

Sam is proving the product property of logarithms. StepJustificationGivenSubstitution Which expression and justification completes the third step of her proof?

Revolt · Accepted Answer

multiplication rule of exponents

Question 3

What is written as a single logarithm?

Revolt · Accepted Answer

log Subscript 5 Baseline (25 x Superscript 6 Baseline) RootIndex 3 StartRoot x squared + 6 EndRoot

Question 4

Given and , what is ?

Revolt · Accepted Answer

2.402

Question 5

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?

Revolt · Accepted Answer

Brandon’s sound intensity is the level of Ahmad’s mower.

Question 6

Which expression is equivalent to ?

Revolt · Accepted Answer

log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)

Properties of Logarithms Answers

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