Assuming All Variables Are Positive, Use Properties of Logarithms to Write

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- $\log \sqrt [ 3 ] { \frac { x } { y } }$

A) $\frac { \log x } { \log y }$
B) $\frac { 1 } { 3 } \log x - \frac { 1 } { 3 } \log y$
C) $\log \left( \frac { x } { 3 } \right) - \log \left( \frac { y } { 3 } \right)$
D) $\frac { \log ( \sqrt [ 3 ] { x } ) } { \log ( \sqrt [ 3 ] { y } ) }$

Correct Answer:

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