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

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) $\log _ { 6 } 4 + \frac { 1 } { 2 } \log _ { 6 } 6 - \log _ { 6 } 11$