Solve the Equation $$e ^ { 5 x - 1 } = \left( e ^ { 2 } \right) ^ { - x }$$

Multiple Choice

Solve the equation.
- $$e ^ { 5 x - 1 } = \left( e ^ { 2 } \right) ^ { - x }$$

A) $\left\{ \frac { 1 } { 2 } \right\}$
B) $\left\{ \frac { 1 } { 3 } \right\}$
C) $\{ 0 \}$
D) $\left\{ \frac { 1 } { 7 } \right\}$