Expand the Logarithmic Expression $\ln \left( x \sqrt { x ^ { 2 } + 1 } \right)$

Multiple Choice

Expand the logarithmic expression. $\ln \left( x \sqrt { x ^ { 2 } + 1 } \right)$

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