Use Properties of Logarithms to Condense the Logarithmic Expression $3 \ln ( x - 6 ) - 10 \ln x$

question 79

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $3 \ln ( x - 6 ) - 10 \ln x$

• A) \(\ln \frac { ( x - 6 ) ^ { 3 } } { x ^ { 10 } }\)
• B) \(\ln x ^ { 10 } ( x - 6 ) ^ { 3 }\)
• C) \(\ln \frac { 3 ( x - 6 ) } { 10 x }\)
• D) \(\ln 30 x ( x - 6 )\)

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Definitions:

Stereotype Interchangeability

The concept that stereotypes about certain groups can be easily transferred or applied to other groups, often without basis in reality or individual assessment.

Aversive Racism

Subtle, nonovert, and nonobvious racism.

Ethnic Identity

An individual's sense of belonging to a particular ethnic group, including aspects like heritage, culture, language, and common ancestry.

Panethnicity

A sense of solidarity among ethnic groups with a common geographical origin or cultural heritage, transcending specific ethnic distinctions.