Solve the Equation by Expressing Each Side as a Power $$\mathrm { e } ^ { \mathrm { x } + 5 } = \frac { 1 } { \mathrm { e } ^ { 10 } }$$

Multiple Choice

Solve the equation by expressing each side as a power of the same base and then equating exponents.
- $$\mathrm { e } ^ { \mathrm { x } + 5 } = \frac { 1 } { \mathrm { e } ^ { 10 } }$$

A) $\{ - 15 \}$
B) $\{ 15 \}$
C) $\{ - 5 \}$
D) $\{ 5 \}$