Solve the Exponential Equation $5 ^ { x + 7 } = 2$

Multiple Choice

Solve the exponential equation. Express the solution set in terms of natural logarithms.
- $5 ^ { x + 7 } = 2$

A) $\left\{ \frac { \ln 2 } { \ln 5 } - 7 \right\}$
B) $\left\{ \frac { \ln 5 } { \ln 2 } + 7 \right\}$
C) $\left\{ \frac { \ln 5 } { \ln 2 } + \ln 7 \right\}$
D) $\{ \ln 2 - \ln 5 - \ln 7 \}$