# Thread: Root problem with complex numbers

1. ## 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.

2. ## Re: Root problem with complex numbers

Rouché's theorem