Use Properties of Logarithms to Evaluate the Expression $f ( x ) = e ^ { x }$

Multiple Choice

Use properties of logarithms to evaluate the expression.
-If $f ( x ) = e ^ { x }$ , find $f \left[ \ln \left( \frac { 1 } { e ^ { 2 } } \right) \right]$

A) $\ln \mathrm { e }$
B) $e ^ { 1 / x }$
C) $\frac { 1 } { \mathrm { e } ^ { 2 } }$
D) $- 2$