Provide an Appropriate Response $10 ^ { x - 5 } = \frac { 1 } { 100 }$

Multiple Choice

Provide an appropriate response.
-Solve $10 ^ { x - 5 } = \frac { 1 } { 100 }$ for $x$ . Give an exact solution.

A) $\{ 7 \}$
B) $\{ \log 5 \}$
C) $\left\{ \frac { 11 } { 2 } \right\}$
D) $\{ 3 \}$