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Equation of e^z=w form

  1. May 13, 2016 #1
    1. The problem statement, all variables and given/known data
    $$2e^z=\sqrt{2}+i\sqrt{2}\\e^z=\frac{\sqrt{2}+i\sqrt{2}}{2} $$
    Then i write the right side as polar form and the abs(right hand side)=2 , and then multiplied with an angle. But in the answer there is only pi/4*i. which is the angle i get, but since the abs(right hand side)=2, why isn't there a "ln 2" in the solution?
     
    Last edited by a moderator: May 13, 2016
  2. jcsd
  3. May 13, 2016 #2

    Ray Vickson

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    Please write your TeX/LaTeX properly; I have fixed up the above and have obtained
    [tex] 2e^z=\sqrt{2}+i\sqrt{2}\\e^z=\frac{\sqrt{2}+i\sqrt{2}}{2}[/tex]
    Anyway, the absolute value of the rhs is not 2.

    Mod note: I fixed the contents of the original post.
     
    Last edited by a moderator: May 13, 2016
  4. May 14, 2016 #3
    Yeah i saw when i went to bed, :D My bad. I wrote wrong on the calculator

    Btw how do i write latex properly? I can't figure out how to do it!
     
  5. May 14, 2016 #4

    haruspex

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    If you right click on the equations Ray posted you should see an option to display the latex.
     
  6. May 14, 2016 #5
    2e^z=\sqrt{2}+i\sqrt{2}\\e^z=\frac{\sqrt{2}+i\sqrt{2}}{2}

    this is what i see,

    HOw to i get it to be latex? I thought just write [tex] on both sides?
     
  7. May 14, 2016 #6

    SammyS

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    You need [/tex] to terminate it.
    [tex]2e^z=\sqrt{2}+i\sqrt{2}\\e^z=\frac{\sqrt{2}+i\sqrt{2}}{2}[/tex]
     
  8. May 14, 2016 #7

    Ray Vickson

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    In your original submission (still echoed in the panel above my response) you will see that you used "[ tex ] some math [ /tex ]". The spaces you inserted inside [...] were a mistake: you should have "[t..x] some math [/t..x]" , where '..' means 'e'. The rest of your expression was perfectly OK.
     
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