Use the Properties of Logarithms to Write $5 \log _ { 5 } ( x - 2 ) - \log _ { 5 } x$

Multiple Choice

Use the properties of logarithms to write $5 \log _ { 5 } ( x - 2 ) - \log _ { 5 } x$ as a single logarithm. Assume x is a positive number.

A) $\frac { \log _ { 5 } ( x - 2 ) ^ { 5 } } { \log _ { 5 } x }$
B) $\log _ { 5 } \frac { ( x - 2 ) ^ { 5 } } { x }$
C) $\log _ { 5 } x ( x - 2 ) ^ { 5 }$
D) $\log _ { 5 } \left( \frac { x - 2 } { x } \right) ^ { 5 }$