Solve the Equation $$\log _ { 5 } x - \log _ { 5 } ( 2 x + 6 ) = \frac { 1 } { 2 } \log _ { 5 } 4$$

Multiple Choice

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
- $$\log _ { 5 } x - \log _ { 5 } ( 2 x + 6 ) = \frac { 1 } { 2 } \log _ { 5 } 4$$

A) $\{ 4 \}$
B) { }
C) $\{ - 4 \}$
D) $\{ - 4,4 \}$