Combine into a Single Logarithm $\log ( x - 3 ) + \log ( x + 3 ) - \frac { 1 } { 2 } \log \left( x ^ { 2 } + 9 \right)$

Multiple Choice

Combine into a single logarithm. $\log ( x - 3 ) + \log ( x + 3 ) - \frac { 1 } { 2 } \log \left( x ^ { 2 } + 9 \right)$

A) $\log \left( \frac { x ^ { 2 } - 9 } { x ^ { 2 } + 9 } \right)$

B) $\log \left( \frac { \sqrt { x ^ { 2 } - 9 } } { x ^ { 2 } } + 9 \right)$

C) $\log \left( \frac { x ^ { 2 } - 9 } { \sqrt { x ^ { 2 } + 9 } } \right)$

D) $\log \left( \frac { x - 3 } { x + 3 } \right)$

E) $\log \left( \frac { x - 9 } { \sqrt { x + 9 } } \right)$