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

question 57

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) \(\ln x + 2 \ln \left( x ^ { 2 } + 1 \right)\)
• C) \(2 \ln x - \ln \left( x ^ { 2 } + 1 \right)\)
• D) \(\ln x + \ln \left( x ^ { 2 } - 1 \right)\)
• E) \(\frac { 1 } { 2 } \ln x + \frac { 1 } { 2 } \ln \left( x ^ { 2 } + 1 \right)\)