solving x^x=1 but x is not real!

How to solve x^x=1? We know 1^1=1 and 0^0 has no agreement (some say 1, some say undefined) but you are about to learn that (2.213...+3.113...i)^(2.213...+3.113...i) will also give you 1. Today we will solve a basic tetration equation x^x=1 but we will use the Lambert W function and get the complex solutions! Check out another cool exponential equation e^e^x=1: how is e^e^x=1 solvable??

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