Use Properties of Logarithms to Condense the Logarithmic Expression $5 \log _ { 6 } 5 + \frac { 1 } { 4 } \log _ { 6 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 6 } r$

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $5 \log _ { 6 } 5 + \frac { 1 } { 4 } \log _ { 6 } ( r - 2 ) - \frac { 1 } { 2 } \log _ { 6 } r$

A) $\log _ { 6 } \frac { 3125 r - 2 } { 8 r }$
B) $\log _ { 6 } \frac { 3125 \sqrt [ 4 ] { \mathrm { r } - 2 } } { \sqrt { \mathrm { r } } }$
C) $\log _ { 6 } \sqrt { \frac { 5 r - 10 } { 8 r } }$
D) $\log _ { 6 } \left( \frac { 5 } { 8 } \sqrt { \frac { r - 2 } { r } } \right)$