Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 29

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { b } \left( \frac { x y ^ { 5 } } { z ^ { 4 } } \right)$

• A) \(\log _ { \mathrm { b } } \mathrm { x } + 5 \log _ { \mathrm { b } } \mathrm { y } - 4 \log _ { \mathrm { b } } z\)
• B) \(\log _ { b } x + \log _ { b } y ^ { 5 } - \log _ { b } z ^ { 4 }\)
• C) \(\log _ { b } x + 5 \log _ { b } y + 4 \log _ { b } z\)
• D) \(\log _ { \mathrm { b } } \mathrm { x } + \log _ { \mathrm { b } } \mathrm { y } ^ { 5 } + \log _ { \mathrm { b } } \mathrm { z } ^ { 4 }\)

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Definitions:

Burden of Proof

The obligation to prove one's assertion or argument, typically resting on the party who makes a claim in a dispute.

Fallacy

A deceptive, misleading, or false notion, belief, or argument; often, a statement or argument based on a false or invalid inference.

Appeal to Ignorance

A logical fallacy that suggests a claim is true simply because it has not been proven false or vice versa.

Burden of Proof

The obligation to prove one's assertion.