Condense the Expression to the Logarithm of a Single Quantity $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

question 180

Multiple Choice

Condense the expression to the logarithm of a single quantity. $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

• A) \(\log _ { 9 } \frac { ( x + 6 ) \sqrt { x - 6 } } { x ^ { 6 } }\)
• B) \(\log _ { 9 } \frac { x ^ { 12 } \sqrt { x - 6 } } { ( x + 6 ) }\)
• C) \(\log _ { 9 } \frac { x ^ { 6 } \sqrt { x - 6 } } { ( x + 6 ) }\)
• D) \(\log _ { 9 } \frac { x ^ { 12 } \sqrt { x + 6 } } { ( x - 6 ) }\)
• E) \(\log _ { 9 } \frac { ( x - 6 ) \sqrt { x + 6 } } { x ^ { 12 } }\)

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Definitions:

Transition Processing

The cognitive and psychological processes involved in adjusting to new situations or changes in one's environment, often requiring the reevaluation of previous assumptions or behaviors.

Marks, Mathieu

Researchers known for their contributions in the field of industrial and organizational psychology, particularly around team dynamics and effectiveness.

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The process of changing from one state or condition to another, often used in the context of personal or professional development.