SOLUTION: Simplify the expression. (5/6)log𝑥+(2/3)log𝑦−(1/2)log𝑥−log𝑦 I know that the answer is log cube root of (x/y) but I'm not sure how to

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Simplify the expression. (5/6)log𝑥+(2/3)log𝑦−(1/2)log𝑥−log𝑦 I know that the answer is log cube root of (x/y) but I'm not sure how to      Log On


   



Question 968565: Simplify the expression.
(5/6)log𝑥+(2/3)log𝑦−(1/2)log𝑥−log𝑦
I know that the answer is log cube root of (x/y) but I'm not sure how to get to that answer. Thank you!

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify the expression.
(5/6)log𝑥+(2/3)log𝑦−(1/2)log𝑥−log𝑦
log(x^(5/6)y^(2/3)/x^(1/2)y)
log(x^1/3/y^1/3)
log(x/y)^1/3
log%28root%283%2Cx%2Fy%29%29