Solve the Exponential Equation Algebraically $e ^ { x } = e ^ { x ^ { 2 } - 12 }$

Multiple Choice

Solve the exponential equation algebraically.Approximate the result to three decimal places. $e ^ { x } = e ^ { x ^ { 2 } - 12 }$

A) $3 , - 4$
B) $- 3 , - 4$
C) $3,4$
D) $- 3,4$
E) $- 3,3$