SOLUTION: Let a= log x, b = log y and c = log z Write log (x^2 root y/z^3) in terms of a, b and c Thanks

SOLUTION: Let a= log x, b = log y and c = log z Write log (x^2 root y/z^3) in terms of a, b and c Thanks

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Question 236461: Let a= log x, b = log y and c = log z
Write log (x^2 root y/z^3) in terms of a, b and c
Thanks
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Break up the log using the identity

Break up the first log using the identity

Convert to rational exponent notation.

Pull down the exponents using the identity

Now use the equations , , and

So where , , and
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