Use the Properties of Logarithms to Rewrite the Expression $$\log _ { 6 } \left( \frac { \sqrt { 11 } } { 10 } \right)$$

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { 6 } \left( \frac { \sqrt { 11 } } { 10 } \right)$$

A) $\log _ { 6 } \sqrt { 11 } + \log _ { 6 } 10$
B) $\frac { 1 } { 2 } \log _ { 6 } 11 - \log _ { 6 } 10$
C) $\frac { \frac { 1 } { 2 } \log _ { 6 } 11 } { \log _ { 6 } 10 }$
D) $\sqrt { \log _ { 6 } 11 } - \log _ { 6 } 10$