SOLUTION: log(b)squareroot((x^6y^2)/(z^5)) Write the expression in expanded form. I know that the answer is 3log(b)x+log(b)y-(5/2)log(b)z but please explain. Thanks!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(b)squareroot((x^6y^2)/(z^5)) Write the expression in expanded form. I know that the answer is 3log(b)x+log(b)y-(5/2)log(b)z but please explain. Thanks!      Log On


   

Question 1000710: log(b)squareroot((x^6y^2)/(z^5))
Write the expression in expanded form.
I know that the answer is 3log(b)x+log(b)y-(5/2)log(b)z
but please explain.
Thanks!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(b)squareroot((x^6y^2)/(z^5))
Write the expression in expanded form.
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logb[x^6*y^2)/z^5]^(1/2)
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= (1/2)[6logb(x)+2logb(y)-5logb(z)]
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= 3*logb(x) + logb(y) - (5/2)logb(z)
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Cheers,
Stan H.
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