# Thread: Help solving complex variable equations

1. ## Help solving complex variable equations

Hello All, I am hoping you can help me how to solve the following equations for z $\displaystyle \epsilon$ $\displaystyle C$

cos$\displaystyle \pi$$\displaystyle z$ = 0

and 1 + $\displaystyle e^{2z}$ = 0

2. ## Re: Help solving complex variable equations

Hey flametag3:

Hint: 2nd one involves taking the complex logarithm after re-arrangement and the 1st one requires understanding when cos(z) = 0 for complex numbers z using the definition.