Solve the Equation $( \sqrt { 2 } ) ^ { x + 4 } = 4 ^ { x }$

Multiple Choice

Solve the equation.
- $( \sqrt { 2 } ) ^ { x + 4 } = 4 ^ { x }$

A) $\{ 4 \}$
B) $\{ 0 \}$
C) $\left\{ \frac { 8 } { 3 } \right\}$
D) $\left\{ \frac { 4 } { 3 } \right\}$