Solve the Equation $$5 x - 35 = \log _ { x } 1$$

Multiple Choice

Solve the equation.
- $$5 x - 35 = \log _ { x } 1$$

A) $\{ 7 \}$
B) $\{ 175 \}$
C) $\left\{ \frac { 1 } { 7 } \right\}$
D) $\{ 30 \}$