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Math Help - Help solving complex equation

  1. #1
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    Question Help solving complex equation

    hi there all

    i need to find the value of x , y
    where

    Help solving complex equation-1.jpg
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  2. #2
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    Re: Help solving complex equation

    Quote Originally Posted by amro05 View Post
    i need to find the value of x , y where
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    Complex exponentiation is difficult.

    If each of z~\&~w is a complex number then the principal value of z^w is \exp \left( {w\text{Log} (z)} \right)

    Now \text{Log}(3+4i)=\ln (5) + \arctan \left( {\frac{4}{3}} \right)i

    Now what can you do with that?
    Thanks from Shakarri and amro05
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  3. #3
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    Re: Help solving complex equation

    Quote Originally Posted by Plato View Post
    Complex exponentiation is difficult.

    If each of z~\&~w is a complex number then the principal value of z^w is \exp \left( {w\text{Log} (z)} \right)

    Now \text{Log}(3+4i)=\ln (5) + \arctan \left( {\frac{4}{3}} \right)i

    Now what can you do with that?
    thank you very mach for your help

    I solved it by this way ( what do you think about it )

    Help solving complex equation-1.jpg
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