Solve the Exponential Equation by Taking the Logarithm of Both $4 ^ { x + 6 } = 9 ^ { x }$

Multiple Choice

Solve the exponential equation by taking the logarithm of both sides. $4 ^ { x + 6 } = 9 ^ { x }$

A) $\left\{ \frac { 6 } { 1 - \ln 9 } \right\}$
B) $\left\{ \frac { 6 \ln 4 } { \ln 4 - \ln 9 } \right\}$
C) $\left\{ \frac { 6 } { \ln 9 - 1 } \right\}$
D) $\left\{ \frac { 6 \ln 4 } { \ln 9 - \ln 4 } \right\}$