Expand the Logarithmic Expression $\log _ { 6 } \left( \frac { 4 x ^ { 3 } } { \sqrt { y } ( x - 2 ) ^ { 6 } } \right)$

question 35

Multiple Choice

Expand the logarithmic expression. $\log _ { 6 } \left( \frac { 4 x ^ { 3 } } { \sqrt { y } ( x - 2 ) ^ { 6 } } \right)$

• A) \(3 \log _ { 6 } 2 + 2 \log _ { 6 } x - \frac { 1 } { 2 } \log _ { 6 } y - 6 \log _ { 6 } ( x - 2 )\)
• B) \(\log _ { 6 } 2 + 3 \log _ { 6 } x - 2 \log _ { 6 } y - 6 \log _ { 6 } ( x - 2 )\)
• C) \(2 \log _ { 6 } 2 + 3 \log _ { 6 } x - \frac { 1 } { 2 } \log _ { 6 } y + 6 \log _ { 6 } ( x - 2 )\)
• D) \(2 \log _ { 6 } 2 - 3 \log _ { 6 } x - \log _ { 6 } y - \frac { 1 } { 2 } \log _ { 6 } ( x - 6 )\)
• E) none

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Definitions:

Sensory Memory

The immediate, very brief recording of sensory information in the memory system.

Atkinson-Shiffrin

A model of memory proposed by Richard Atkinson and Richard Shiffrin in 1968 that describes memory in terms of three stores; sensory, short-term, and long-term memory.

Connectionism

An approach in cognitive science that models mental or behavioral phenomena as the emergent processes of interconnected networks of simple units.

Neural Networks

Computational models inspired by the human brain's structure, designed to recognize patterns and solve problems.