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Math Help - Divisibility in number thory equation

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    Divisibility in number thory equation

    If we have the equation x^(y+z) = z x y^z and x,y,z are all positive integers, How do I prove y is a divisor of z and that z can be written in the form d^x for a positive integer d.
    im so stuck and I have no idea at all how to solve the equation. I can do fairly straightforward number theory but dissecting this will be really hard. Any help?
    Last edited by Idiotinabox; August 11th 2012 at 10:34 PM.
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