Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 210

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log _ { a } \frac { x ^ { 4 } \sqrt [ 3 ] { x + 5 } } { ( x - 2 ) ^ { 2 } }$

• A) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { - 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• B) \(4 \log _ { a } x + \frac { 1 } { 3 } \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)
• C) \(\log _ { a } x ^ { 4 } + \log _ { a } ( x + 5 ) ^ { 1 / 3 } - \log _ { a } ( x - 2 ) ^ { 2 }\)
• D) \(4 \log _ { a } x - 3 \log _ { a } ( x + 5 ) - 2 \log _ { a } ( x - 2 )\)

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Definitions:

Interracial Solidarity

The unity or agreement of feeling or action among individuals of different racial backgrounds, often in the context of combating racism and promoting equality.

Multiracial

Pertains to individuals or populations composed of or identifying with two or more racial backgrounds.

Associational Life

The aspect of social life that pertains to the voluntary associations and networks formed by individuals, outside of familial and governmental structures.

Racial Divides

Social and economic separations between people based on race, often manifesting in disparities in access to resources, opportunities, and fair treatment.