Use the Properties of Logarithms to Expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$

Multiple Choice

Use the properties of logarithms to expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$ .

A) $( \ln 2 + \ln x - \ln ( x - 6 ) ) ^ { 1 / 2 }$
B) $\left( \frac { \ln 2 \cdot \ln x } { \ln x - \ln 6 } \right) ^ { 1 / 2 }$
C) $\frac { 1 } { 2 } \left( \ln 2 + \ln x - \frac { \ln x } { \ln 6 } \right)$
D) $\frac { 1 } { 2 } ( \ln 2 + \ln x - \ln ( x - 6 ) )$
E) $\frac { 1 } { 2 } \ln 2 + \ln x - \ln ( x - 6 )$