Condense the Expression to the Logarithm of a Single Quantity $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

Multiple Choice

Condense the expression to the logarithm of a single quantity. $\frac { 1 } { 2 } \left[ \log _ { 9 } ( x + 6 ) + 2 \log _ { 9 } ( x - 6 ) \right] - 12 \log _ { 9 } x$

A) $\log _ { 9 } \frac { ( x + 6 ) \sqrt { x - 6 } } { x ^ { 6 } }$
B) $\log _ { 9 } \frac { x ^ { 12 } \sqrt { x - 6 } } { ( x + 6 ) }$
C) $\log _ { 9 } \frac { x ^ { 6 } \sqrt { x - 6 } } { ( x + 6 ) }$
D) $\log _ { 9 } \frac { x ^ { 12 } \sqrt { x + 6 } } { ( x - 6 ) }$
E) $\log _ { 9 } \frac { ( x - 6 ) \sqrt { x + 6 } } { x ^ { 12 } }$