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

Multiple Choice

Use the properties of logarithms to condense $\frac { 1 } { 2 } \log _ { 5 } ( x + 5 ) - \log _ { 5 } ( x - 6 )$ .

A) $\log _ { 5 } \frac { x + 5 } { 2 ( x - 6 ) }$
B) $\log _ { 5 } ( \sqrt { x + 5 } - x + 6 )$
C) $\log _ { 5 } \frac { \sqrt { x + 5 } } { x - 6 }$
D) $\log _ { 5 } \sqrt { \frac { x + 5 } { x - 6 } }$
E) $\log _ { 5 } \left( - \frac { 1 } { 2 } x + \frac { 17 } { 2 } \right)$