Use the Properties of Logarithms to Expand $\frac { \sqrt { x } } { x - 11 }$

Multiple Choice

Use the properties of logarithms to expand $\frac { \sqrt { x } } { x - 11 }$ .

A) $\frac { 1 } { 2 } \ln x - \ln ( x - 11 )$
B) $\ln \left( \frac { 1 } { 2 } x - \frac { x } { 11 } \right)$
C) $\frac { ( \ln x ) ^ { 1 / 2 } } { \ln x - \ln 11 }$
D) $( \ln x ) ^ { 1 / 2 } - \ln ( x - 11 )$
E) $\frac { 1 } { 2 } \ln x \cdot ( \ln x - \ln 11 )$