Condense the Expression Below to the Logarithm of a Single $$5 [ \ln x - \ln ( x + 2 ) - \ln ( x - 2 ) ]$$

question 41

Multiple Choice

Condense the expression below to the logarithm of a single quantity.
$$5 [ \ln x - \ln ( x + 2 ) - \ln ( x - 2 ) ]$$

• A) \(\ln \left( x ^ { 5 } - \left( x ^ { 2 } - 4 \right) ^ { 5 } \right)\)
• B) \(\quad \ln \left( x ^ { 5 } - ( x + 2 ) ^ { 5 } - ( x - 2 ) ^ { 5 } \right)\)
• C) \(\ln \frac { x ^ { 5 } } { x ^ { 2 } - 4 }\)
• D) \(\ln \left( \left( \frac { x } { x ^ { 2 } - 4 } \right) ^ { 5 } \right)\)
• E) \(\quad \ln \frac { x } { \left( x ^ { 2 } - 4 \right) ^ { 5 } }\)

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Definitions:

Tone

can refer to the quality or character of sound, or in linguistics, the use of pitch in language to distinguish lexical or grammatical meaning.

Salivation

The secretion of saliva in the mouth, which is stimulated by the presence or anticipation of food and aids in digestion.

Classical Conditioning

The process of acquiring knowledge through the recurrent association of two stimuli, resulting in a response initially evoked by the second stimulus being evoked by the first stimulus alone.

Physiological Functioning

The manner in which biological processes operate within an organism to maintain life and health.