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Math Help - unusual equality

  1. #1
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    Cool unusual equality

    Find the solution of e^z = z\text{ in }|z|<2
    and \tan x = x\text{  in }-\frac{3}{2}\pi<x<\frac{3}{2}\pi
    Last edited by mr fantastic; May 19th 2010 at 12:37 AM. Reason: Edited post title.
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  2. #2
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    Neither of those can be solved analytically. You will need a numerical method, such as graphing on a calculator.

    For example, on the first one, you could set y=e^x-x and then find all the zeros graphically on -2<x<2.
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  3. #3
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    I believe the first one is supposed to be a problem in complex analysis (use of z rather than x.) Perhaps Rouché’s theorem might help.
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  4. #4
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    What is Rouche's theorem????
    I have tried to solve this but it got fail >_<
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