Solve the Exponential Equation $$4 ^ { x + 4 } = 5 ^ { 2 x + 5 }$$

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $$4 ^ { x + 4 } = 5 ^ { 2 x + 5 }$$

A) $\left\{ \frac { 5 \ln 5 - 4 \ln 4 } { \ln 4 - 2 \ln 5 } \right\}$
B) $\left\{ \ln \left[ \frac { 5 ^ { 5 } } { 4 ^ { 4 } } - \frac { 4 } { 5 ^ { 2 } } \right] \right\}$
C) $\{ \ln 5 - \ln 4 \}$
D) $\{ 7 \ln 5 - 5 \ln 4$ Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.