Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\ln \sqrt { \frac { x } { y } }$
A) $\frac { 1 } { 2 } \ln x - \frac { 1 } { 2 } \ln y$
B) $\ln \sqrt { x } - \ln \sqrt { y }$
C) $\frac { 1 } { 2 } \ln \frac { x } { y }$
D) $\frac { 1 } { 2 } \ln x - \ln y$

Question

Quizplus · Accepted Answer

The expression $\ln \sqrt { \frac { x } { y } }$ can be rewritten using the properties of logarithms as $\frac { 1 } { 2 } \ln \frac { x } { y }$, which further expands to $\frac { 1 } { 2 } \ln x - \frac { 1 } { 2 } \ln y$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much