Use the Properties of Logarithms to Expand $\ln \sqrt [ 5 ] { \frac { x ^ { 2 } } { x + 3 } }$

Multiple Choice

Use the properties of logarithms to expand $\ln \sqrt [ 5 ] { \frac { x ^ { 2 } } { x + 3 } }$ .

A) $( \ln x ) ^ { 2 / 5 } - \ln x \cdot \ln 3$
B) $- 5 ( 2 \ln x - \ln ( x + 3 ) )$
C) $\frac { 1 } { 5 } ( 2 \ln x - \ln x \cdot \ln 3 )$
D) $\frac { 2 } { 5 } \ln x - \frac { 1 } { 5 } \ln ( x + 3 )$
E) $\left( \frac { ( \ln x ) ^ { 2 } } { \ln x + \ln 3 } \right) ^ { 1 / 5 }$