Write the Logarithmic Expression as a Single Logarithm with Coefficient $3 [ \ln x - \ln ( x + 9 ) - \ln ( x - 9 ) ]$

question 61

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $3 [ \ln x - \ln ( x + 9 ) - \ln ( x - 9 ) ]$

• A) \(\left[ \ln \frac { x } { x ^ { 2 } - 81 } \right] ^ { 3 }\)
• B) \(\ln \left[ \frac { x } { x ^ { 2 } - 81 } \right] ^ { 3 }\)
• C) \(\left[ \ln \frac { x } { 2 + x } \right] ^ { 3 }\)
• D) \(\ln \left[ \frac { x } { 2 + x } \right] ^ { 3 }\)

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Evolved Module

A concept in psychology suggesting that certain mental faculties or predispositions have been developed through natural selection over time to solve specific problems of survival or reproduction.

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The process of acquiring fears through conditioning, where an initially neutral stimulus becomes associated with a fearful or traumatic event, causing future fear responses.

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The state of being ready and able to deal with specific situations, often referring to psychological readiness to perceive certain stimuli as connected.

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A concept in genetics denoting the extent of possible phenotypic variations for a trait given a certain genotype, influenced by environmental conditions.