Rewrite the Expression as a Sum, Difference, or Multiple of Logarithms

question 20

Multiple Choice

Rewrite the expression as a sum, difference, or multiple of logarithms.
- $\log x ^ { 2 } ( 5 x - 4 ) ^ { 5 }$

• A) \(7 \log ( 6 x - 4 )\)
• B) \(2 \log x + 5 \log ( 5 x - 4 )\)
• C) \(2 \log x + 5 \log 5 x - 5 \log 4\)
• D) \(2 \log x - 5 \log ( 5 x - 4 )\)

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Definitions:

Obsessive-Compulsive Disorder

A mental disorder characterized by recurrent, unwanted thoughts (obsessions) and repetitive behaviors (compulsions).

Obsessive-Compulsive Personality Disorder

A mental disorder identified by an ongoing obsession with being orderly, perfect, and in control of both one's own thoughts and relationships, sacrificing adaptability, openness, and effectiveness in the process.

Order

The arrangement or disposition of people, items, or concepts in relation to each other following a particular sequence, pattern, or method.

Obsessive-Compulsive Personality Disorder

A personality disorder characterized by a pervasive pattern of preoccupation with orderliness, perfectionism, and mental and interpersonal control, at the expense of flexibility, openness, and efficiency.