This isn't really homework help. I'm working through a complex analysis textbook myself, and am stumped on the complex transcendentals, but I figured this was the best place for it. I would(adsbygoogle = window.adsbygoogle || []).push({}); greatlyappreciate any guidance here, I'm getting very frustrated!

1. The problem statement, all variables and given/known data

The problem is to find all solutions of [itex]e^{2iz} = 1[/itex] where [itex] z \in \mathbb{C}[/itex].

The correct answer is, I believe [itex]z = n \pi[/itex] for any integer n.

2. Relevant equations

Euler's equation: [itex]-1 = e^{i \pi}[/itex]

3. The attempt at a solution

I tried turning the right hand side in to [itex]-e^{i \pi}[/itex] via Euler's equation, then taking a logarithm of both sides... gives [itex] 2iz = i \pi[/itex]... but Wolfram Alpha says the answer is [itex]n \pi[/itex] where [itex] n \in Z[/itex]. Clearly not where I got to.

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# Complex Analysis - Transcendental Solutions Help

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