SOLUTION: Problem:Assume that x,y,& z are positive numbers. Use the properties of logarithms to write the expression "the 5th root of x^4y^6/z^5" in terms of the logarithms of x,y,& z.

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Question 153877This question is from textbook Intermediate Algebra
: Problem:Assume that x,y,& z are positive numbers. Use the properties of logarithms to write the expression "the 5th root of x^4y^6/z^5" in terms of the logarithms of x,y,& z. This question is from textbook Intermediate Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Problem:Assume that x,y,& z are positive numbers. Use the properties of logarithms to write the expression "the 5th root of x^4y^6/z^5" in terms of the logarithms of x,y,& z.
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You cannot "write the expression in terms of logarithms", but you
can take the log of the expression:
log[5th root of x^4y^6/z^5] = (1/5)[4logx + 6logy -5logz]
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cheers,
Stan H.