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

Question 78

Multiple Choice

Assuming all variables are positive, use properties of logarithms to write the expression as a sum or difference of
logarithms or multiples of logarithms.
- logxy3\log \sqrt [ 3 ] { \frac { x } { y } }


A) logxlogy\frac { \log x } { \log y }
B) 13logx13logy\frac { 1 } { 3 } \log x - \frac { 1 } { 3 } \log y
C) log(x3) log(y3) \log \left( \frac { x } { 3 } \right) - \log \left( \frac { y } { 3 } \right)
D) log(x3) log(y3) \frac { \log ( \sqrt [ 3 ] { x } ) } { \log ( \sqrt [ 3 ] { y } ) }

Correct Answer:

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