Use the Properties of Logarithms to Expand the Expression $\log _ { 4 } \left[ x ^ { 5 } ( x + 6 ) ^ { 2 } \right]$

Multiple Choice

Use the properties of logarithms to expand the expression $\log _ { 4 } \left[ x ^ { 5 } ( x + 6 ) ^ { 2 } \right]$ . (Assume $x > 0$ ) .

A) $5 \log _ { 4 } x + 2 \log _ { 4 } ( x + 6 )$
B) $5 \log _ { 4 } x \times 2 \log _ { 4 } ( x + 6 )$
C) $\frac { \log _ { 4 } x ^ { 5 } } { \log _ { 4 } ( x + 6 ) ^ { 2 } }$
D) $5 \log _ { 4 } x + \log _ { 4 } ( x + 6 )$
E) $\left( 5 \log _ { 4 } x \right) \times \left( 2 \log _ { 4 } x \right) + 2 \log _ { 4 } 6 x$