Solve the System by Elimination If Possible $\log _ { 6 } x + \log _ { 6 } ( x - 20 ) = \log _ { 6 } 189$

Multiple Choice

Solve the system by elimination if possible. $\log _ { 6 } x + \log _ { 6 } ( x - 20 ) = \log _ { 6 } 189$

A) $\left\{ \frac { 209 } { 2 } \right\}$
B) $\log _ { 5 } \frac { ( x - 2 ) ^ { 5 } } { x }$
C) $\log _ { 5 } x ( x - 2 ) ^ { 5 }$
D) infinitely many solutions, dependent equations
E) no solution, inconsistent system