Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 141

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
- $\log _ { 3 } \frac { x - 5 } { x ^ { 8 } }$

• A) \(\log _ { 3 } ( x - 5 ) - 8 \log _ { 3 } x\)
• B) \(\log _ { 3 } ( x - 5 ) + 8 \log _ { 3 } x\)
• C) \(\log _ { 3 } ( x - 5 ) - \log _ { 3 } x\)
• D) \(8 \log _ { 3 } x - \log _ { 3 } ( x - 5 )\)

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Definitions:

Semicircular Canals

Organs of equilibrium that respond to rotation and angular movement of the head; part of the vestibular apparatus.

Vertebrate Organs

Essential body parts found within vertebrates, including animals with a backbone, such as the heart, brain, and lungs, each performing specific vital functions.

Equilibrium

A state of balance or stability within a system, where competing influences are balanced.