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Math Help - Inverse of Log in Complex Analysis

  1. #1
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    Inverse of Log in Complex Analysis

    Can anyone help me to find the inverse function, domain and rule of the following complex function:

    g(z)=Log(1-2iz)

    Many thanks
    Graham
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Note that for any complex number  z ,  e^{\ln(z)} = z .

    Not to be confused with the fact that  \ln(e^z) = z+2\pi i n, \text{ where } n \in \mathbb{N} .
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  3. #3
    Junior Member ursa's Avatar
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    Can anyone show me how to determine the inverse of the following complex function

    g(z)=Log(1-2iz)

    Thank you
    Graham
    hi
    equate right hand side equal to x
    raise them to the power of the 10
    then you will get the equation of z in terms of x
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  4. #4
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    mr fantastic's Avatar
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    Quote Originally Posted by ursa View Post
    hi
    equate right hand side equal to x
    raise them to the power of the 10
    then you will get the equation of z in terms of x
    In this context the base is not 10, it's e.
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