Use the Properties of Logarithms to Rewrite the Expression $\log _ { 6 } \left( \frac { 4 \sqrt { 6 } } { 11 } \right)$

question 219

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 6 } \left( \frac { 4 \sqrt { 6 } } { 11 } \right)$
$\log _ { 6 } 4 + \frac { 1 } { 2 } \log _ { 6 } 6$

• A) \(\log _ { 6 } 4 + \sqrt { \log _ { 6 } 6 } - \log _ { 6 } 11\)
• B) \(\frac { \log _ { 6 } 11 } { }\)
• C) \(\left( \log _ { 6 } 4 \right) \left( \frac { 1 } { 2 } \log _ { 6 } 6 \right) - \log _ { 6 } 11\)
• D) \(\log _ { 6 } 4 + \frac { 1 } { 2 } \log _ { 6 } 6 - \log _ { 6 } 11\)

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