Condense the Expression $$\frac { 1 } { 3 } \left[ \log _ { 6 } x + \log _ { 6 } 7 \right] - \left[ \log _ { 6 } y \right]$$

question 35

Multiple Choice

Condense the expression $$\frac { 1 } { 3 } \left[ \log _ { 6 } x + \log _ { 6 } 7 \right] - \left[ \log _ { 6 } y \right]$$ to the logarithm of a single term.

• A) \(\log _ { 6 } \frac { ( 7 x ) ^ { 3 } } { y }\)
• B) \(\log _ { 6 } \frac { \sqrt [ 3 ] { 7 x } } { y }\)
• C) \(\log _ { 6 } \sqrt [ 3 ] { \frac { 7 x } { y } }\)
• D) \(\log _ { 6 } \sqrt [ 3 ] { 7 x } - \log _ { 6 } y\)
• E) \(\log _ { 6 } \frac { 7 x } { 3 y }\)

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Definitions:

Dopamine Production

The biochemical process leading to the creation of dopamine, a neurotransmitter vital for pleasure, motivation, and motor function in the brain.

Spinal Cord

A major part of the central nervous system which conducts sensory and motor nerve impulses to and from the brain.

Sensation

Processing of sensory stimuli that involves detection of nerve impulses by the cerebral cortex of the brain.

Voluntary Control

The ability to consciously control bodily movements, as opposed to involuntary movements which occur without conscious choice.