Use the Properties of Logarithms to Rewrite the Expression $\log _ { a } \left( 4 x ^ { 3 } y \right)$

question 252

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { a } \left( 4 x ^ { 3 } y \right)$

• A) \(\log _ { a } \left( 4 + x ^ { 3 } + y \right)\)
• B) \(\log _ { a } 4 + \left( \log _ { a } x \right) ^ { 3 } + \log _ { a } y\)
• C) \(\left( \log _ { a } 4 \right) \left( \log _ { a } x \right) \left( \log _ { a } y \right)\)
• D) \(\log _ { a } 4 + 3 \log _ { a } x + \log _ { a } y\)

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Definitions:

Imaginary Audience

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The part of the brain located at the front of the frontal lobe, associated with complex cognitive behavior, personality expression, decision making, and moderating social behavior.

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