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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- Jan 16th 2009, 06:03 AMgrahamleeInverse 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 - Jan 16th 2009, 11:24 AMchiph588@
Note that for any complex number $\displaystyle z $, $\displaystyle e^{\ln(z)} = z $.

Not to be confused with the fact that $\displaystyle \ln(e^z) = z+2\pi i n, \text{ where } n \in \mathbb{N} $. - Jan 17th 2009, 04:55 AMursaQuote:

Can anyone show me how to determine the inverse of the following complex function

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

Thank you

Graham

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 - Jan 17th 2009, 04:58 AMmr fantastic