Rewrite as a Single Logarithm $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

Multiple Choice

Rewrite as a single logarithm. Assume all variables represent positive real numbers.
- $4 \log _ { 4 } ( 4 x + 2 ) + 3 \log _ { 4 } ( 5 x + 3 )$

A) $12 \log _ { 4 } ( 4 x + 2 ) ( 5 x + 3 )$
B) $\log _ { 4 } \frac { ( 4 x + 2 ) ^ { 4 } } { ( 5 x + 3 ) ^ { 3 } }$
C) $\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } ( 5 x + 3 ) ^ { 3 } \right)$
D) $\log _ { 4 } \left( ( 4 x + 2 ) ^ { 4 } + ( 5 x + 3 ) ^ { 3 } \right)$