Use the Laws of Logarithms to Expand the Expression $\ln \left( \frac { x + 5 } { x - 6 } \right) ^ { 1 / 2 }$

question 98

Multiple Choice

Use the laws of logarithms to expand the expression.
$\ln \left( \frac { x + 5 } { x - 6 } \right) ^ { 1 / 2 }$

• A) \(\frac { 1 } { 2 } \ln \left( \frac { x + 5 } { x - 6 } \right)\)
• B) \(\frac { 1 } { 2 } \ln [ ( x + 5 ) ( x - 6 ) ]\)
• C) \(\frac { 1 } { 2 } \ln \left( x - \frac { 5 } { 6 } \right)\)
• D) \(\frac { 1 } { 2 } \ln ( x + 5 ) - \frac { 1 } { 2 } \ln ( x - 6 )\)