Express as the Logarithm of a Single Expression $3 \log _ { 5 } x + \frac { 1 } { 6 } \log _ { 5 } x - 2 \log _ { 5 } ( x + 1 )$

question 237

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $3 \log _ { 5 } x + \frac { 1 } { 6 } \log _ { 5 } x - 2 \log _ { 5 } ( x + 1 )$

• A) \(\log _ { 5 } \frac { x ^ { 19 / 6 } } { ( x + 1 ) ^ { 2 } }\)
• B) \(\frac { 19 } { 6 } \log _ { 5 } \frac { x } { ( x + 1 ) ^ { 2 } }\)
• C) \(\log _ { 5 } \left( \frac { \frac { 19 } { 6 } x } { 2 ( x + 1 ) } \right)\)
• D) \(\log _ { 5 } \frac { x ^ { 19 / 6 } } { 2 ( x + 1 ) }\)

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Definitions:

Individualistic Culture

Cultures in which personal achievements and independence are highly valued, emphasizing the importance of individual goals over group goals.

Belief Perseverance

The phenomenon where individuals maintain their beliefs even in the face of contradictory evidence.

Fundamental Attribution Error

The tendency to overemphasize personal characteristics and ignore situational factors in explaining others' behavior.

Overjustification Effect

A phenomenon where providing external incentives for an activity already intrinsically rewarding leads to a decrease in intrinsic motivation.