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

Which of the following is equivalent to log9w?

Revolt · Accepted Answer

log9 + logw

Question 3

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 4

Given and , what is ?

Revolt · Accepted Answer

2.402

Question 5

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 6

Which expression is equivalent to log18 – log(p + 2)?

Revolt · Accepted Answer

log StartFraction 18 Over p + 2 EndFraction

Question 7

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)

Question 8

Given and , what is ?

Revolt · Accepted Answer

1.404

Question 9

Which expression is equivalent to ?

Revolt · Accepted Answer

log Subscript 3 Baseline c minus log Subscript 3 Baseline (9)

Question 10

The proof for the power property of logarithms appears in the table with an expression missing. StepReasonGivenSubstitution Properties of exponentsLogarithm property SubstitutionCommutative property of multiplicationWhich expression is missing from the proof?

Revolt · Accepted Answer

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Properties of Logarithms Answers

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