Solve the Equation $$\log _ { 7 } | x + 5 | = \log _ { 7 } 4$$

Multiple Choice

Solve the equation. Write the solution set with the exact solutions. Also give approximate solutions to 4
decimal places if necessary.
- $$\log _ { 7 } | x + 5 | = \log _ { 7 } 4$$

A) $\{ - 1 , - 9 \}$
B) $\{ 1 \}$
C) $\{ - 1 \}$
D) $\{ 1,9 \}$