Use the Properties of Logarithms to Rewrite the Expression $\log _ { 8 } \left( \frac { 4 \sqrt { 7 } } { 8 } \right)$

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 8 } \left( \frac { 4 \sqrt { 7 } } { 8 } \right)$
$\log _ { 8 } 4 + \frac { 1 } { 2 } \log _ { 8 } 7$

A) $\left( \log _ { 8 } 4 \right) \left( \frac { 1 } { 2 } \log _ { 8 } 7 \right) - \log _ { 8 } 8$
B) $\frac { \log 88 } { 2 }$
C) $\log _ { 8 } 4 + \frac { 1 } { 2 } \log _ { 8 } 7 - \log _ { 8 } 8$
D) $\log _ { 8 } 4 + \sqrt { \log _ { 8 } 7 } - \log 88$