Use Properties of Logarithms to Condense the Logarithmic Expression $$\frac { 1 } { 5 } \left[ 5 \ln ( x + 1 ) - \ln x - \ln \left( x ^ { 2 } - 1 \right) \right]$$

Multiple Choice

Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm
whose coefficient is 1. Where possible, evaluate logarithmic expressions.
- $$\frac { 1 } { 5 } \left[ 5 \ln ( x + 1 ) - \ln x - \ln \left( x ^ { 2 } - 1 \right) \right]$$

A) $\ln \sqrt [ 5 ] { \frac { ( x + 1 ) ^ { 5 } } { x \left( x ^ { 2 } - 1 \right) } }$
B) $\ln \sqrt [ 5 ] { \frac { ( x + 1 ) ^ { 5 } \left( x ^ { 2 } - 1 \right) } { x } }$
C) $\ln \sqrt [ 5 ] { \frac { 5 ( x + 1 ) } { x \left( x ^ { 2 } - 1 \right) } }$
D) $\ln \sqrt [ 5 ] { \frac { x ( x + 1 ) ^ { 5 } } { \left( x ^ { 2 } - 1 \right) } }$