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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Corrupt Bargain

A term used to describe the alleged deal between John Quincy Adams and Henry Clay that secured Adams' presidency in exchange for Clay becoming Secretary of State, following the contested presidential election of 1824.

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A prominent American statesman and political theorist from South Carolina who served as Vice President and was a staunch defender of states' rights and slavery.

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