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

question 46

Multiple Choice

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

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

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