Choose the One Alternative That Best Completes the Statement or Answers

Multiple Choice

Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
- $\ln \sqrt { x + 2 } = 4$

A) $\left\{ e ^ { 4 } - 2 \right\}$
B) $\left\{ e ^ { 8 } - 2 \right\}$
C) $\left\{ e ^ { 8 } + 2 \right\}$
D) $\left\{ \frac { \mathrm { e } ^ { 4 } } { 2 } + 2 \right\}$