Write the Logarithmic Expression as a Single Logarithm with Coefficient $$\frac { 1 } { 2 } [ 6 \ln ( x - 3 ) + \ln x - 2 \ln x ]$$

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- $$\frac { 1 } { 2 } [ 6 \ln ( x - 3 ) + \ln x - 2 \ln x ]$$

A) $\ln \left[ \frac { ( x - 3 ) ^ { 3 } } { x } \right]$
B) $\ln \left[ \frac { ( x - 3 ) ^ { 6 } } { 2 x } \right]$
C) $\ln \left[ \frac { ( x - 3 ) ^ { 3 } } { \sqrt { x } } \right]$
D) $\ln \left[ \frac { \sqrt { x } ( x - 3 ) ^ { 3 } } { 2 x } \right]$