Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 2 } \left( \log _ { 5 } ( r - 9 ) - \log _ { 5 } r \right)$$

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.
- $$\frac { 1 } { 2 } \left( \log _ { 5 } ( r - 9 ) - \log _ { 5 } r \right)$$

A) $\log _ { 5 } \sqrt { \frac { r - 9 } { r } }$
B) $\log _ { 5 } \sqrt { \frac { \mathrm { r } - 9 } { 2 \mathrm { r } } }$
C) $\log _ { 5 } \frac { \sqrt { r - 9 } } { r }$
D) $\log _ { 5 } \frac { \mathrm { r } - 9 } { \sqrt { \mathrm { r } } }$