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Find values of z

  1. Feb 19, 2014 #1
    1. The problem statement, all variables and given/known data
    Find all values of z such that ez=1+i√3


    2. Relevant equations



    3. The attempt at a solution
    I have no idea how to do this. I was going to start with ez=exeiy and try to figure something out from that, but I'm not seeing anything. I checked the solution shown below, but I'm really confused as to how they went from the equation given to the first step. An explanation would be really helpful.
     

    Attached Files:

  2. jcsd
  3. Feb 19, 2014 #2

    Ray Vickson

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    If you write ##1 + i \sqrt{3} = r e^{i \theta}## (where you can easily figure out ##r## and ##\theta##) then the equation is ##e^{z} \equiv e^x e^{iy} = r e^{i \theta}##.
     
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