Condense the Expression $\frac { 1 } { 5 } \left[ \log _ { 4 } x + \log _ { 4 } 3 \right] - \left[ \log _ { 4 } y \right]$

question 62

Multiple Choice

Condense the expression $\frac { 1 } { 5 } \left[ \log _ { 4 } x + \log _ { 4 } 3 \right] - \left[ \log _ { 4 } y \right]$ to the logarithm of a single term.

• A) \(\log _ { 4 } \frac { ( 3 x ) ^ { 5 } } { y }\)
• B) \(\log _ { 4 } \frac { 3 x } { 5 y }\)
• C) \(\log _ { 4 } \sqrt [ 5 ] { \frac { 3 x } { y } }\)
• D) \(\log _ { 4 } \frac { \sqrt [ 5 ] { 3 x } } { y }\)
• E) \(\log _ { 4 } \sqrt [ 5 ] { 3 x } - \log _ { 4 } y\)

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Definitions:

Sexual Identity

An individual's conception of themselves in relation to sexual attractions, behaviors, and membership in a community of others who share similar attractions.

Homosexual Orientation

The enduring pattern of emotional, romantic, and/or sexual attractions to individuals of the same sex.

Intimate Relationships

Intimate relationships are deeply personal connections between individuals, characterized by love, trust, understanding, and emotional closeness.

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A relationship characterized by continuity, reliability, and emotional stability between partners over time.