I've become rather curious, as of late, about the realm of complex logarthims; more specifially logarithms in the form log(z) where z is any negative number. Excuse any ignorance on my part, as I'm only in Precalculus, but I was just curious to see how Euler's formula is related to complex logarithms. If anyone can explain this in Laymen's terms (I know this is the Calculus section, but I didn't think this topic belonged in the general math section) keeping in mind that I have no Calculus experience, that would be great. Any outside resources that break it down would also be helpful. Sorry if I'm asking the impossible, i.e. Calc without Calc. Thanks.