Use the Definition of a Logarithm to Solve Logarithmic Equations $$\log _ { 4 } ( x + 2 ) - \log _ { 4 } x = 2$$

Multiple Choice

Use the Definition of a Logarithm to Solve Logarithmic Equations
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic
expressions. Give the exact answer.
- $$\log _ { 4 } ( x + 2 ) - \log _ { 4 } x = 2$$

A) $\left\{ \frac { 2 } { 15 } \right\}$
B) $\{ 4 \}$
C) $\left\{ \frac { 1 } { 8 } \right\}$
D) $\left\{ \frac { 15 } { 2 } \right\}$ ) {