SOLUTION: Use the properties of logarithms to expand the following expression. log (3\sqrt((x^(5)z)/(y^(2)))) Each logarithm should involve only one variable and should not have any ra

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use the properties of logarithms to expand the following expression. log (3\sqrt((x^(5)z)/(y^(2)))) Each logarithm should involve only one variable and should not have any ra      Log On


   



Question 1066377: Use the properties of logarithms to expand the following expression.
log (3\sqrt((x^(5)z)/(y^(2))))
Each logarithm should involve only one variable and should not have any radicals or exponents.
You may assume that all variables are positive.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the properties of logarithms to expand the following expression.
log (3\sqrt((x^(5)z)/(y^(2))))
= log(3)-(1/2)log(x^5*z/y^2)
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= log(3) - (1/2)[5log(x)+log(z)-2log(y)]
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Cheers,
Stan H.
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