Express as the Logarithm of a Single Expression $$\log _ { 4 } x - \log _ { 4 } ( x + 6 ) + \log _ { 4 } \left( x ^ { 2 } - 6 \right)$$

Multiple Choice

Express as the logarithm of a single expression. Assume that variables represent positive numbers.
- $$\log _ { 4 } x - \log _ { 4 } ( x + 6 ) + \log _ { 4 } \left( x ^ { 2 } - 6 \right)$$

A) $\log _ { 4 } \left( x ^ { 2 } - 12 \right)$
B) $\log _ { 4 } \frac { x } { x ^ { 3 } + 6 x ^ { 2 } - 6 x - 36 }$
C) $\log _ { 4 } \frac { x ^ { 2 } + 6 x } { x ^ { 2 } - 6 }$
D) $\log _ { 4 } \frac { x ^ { 3 } - 6 x } { x + 6 }$