Use the Properties of Logarithms to Expand $\ln \left( \frac { x ^ { 2 } - 25 } { x ^ { 10 } } \right) ^ { 9 }$

question 98

Multiple Choice

Use the properties of logarithms to expand $\ln \left( \frac { x ^ { 2 } - 25 } { x ^ { 10 } } \right) ^ { 9 }$ .

• A) \(9 [ \ln ( x + 5 ) - \ln ( x - 5 ) - 10 \ln x ]\)
• B) \(9 [ \ln ( x + 5 ) + \ln ( x - 5 ) + 10 \ln x ]\)
• C) \(9 [ \ln ( x + 5 ) - \ln ( x - 5 ) - \ln x ]\)
• D) \(9 [ \ln ( x + 5 ) + \ln ( x - 5 ) + \ln x ]\)
• E) \(9 [ \ln ( x + 5 ) + \ln ( x - 5 ) - 10 \ln x ]\)

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Definitions:

Hegemonizing

The act or process of establishing dominance or leadership, especially by one state or social group over others.

Queer Theory

An interdisciplinary approach that challenges traditional ideas about sexuality and gender, emphasizing the fluidity and socially constructed nature of these concepts.

Marginalized

A condition in which an individual or group is placed in a lower or peripheral edge of society, often leading to reduced access to resources and opportunities.

Non-reproductive

Pertaining to actions, processes, or behaviors not directly related to reproduction or the production of offspring.