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Thread: Root problem with complex numbers

  1. #1
    Junior Member
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    Root problem with complex numbers

    This seems pretty easy, but I cannot seem to have a possble solution for it and it goes:


    **PROBLEM**: If $a>e$, show that the equation $e^z = az^n$ has $n$ solutions inside the unit circle.


    Can someone show me how to do these roots problems formally so I can follow up and continue other problems? I would appreciate the help.
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  2. #2
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    Re: Root problem with complex numbers

    Rouché's theorem
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