• Jan 16th 2009, 06:03 AM
grahamlee
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 AM
chiph588@
Note that for any complex number $z$, $e^{\ln(z)} = z$.

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

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
• Jan 17th 2009, 04:58 AM
mr fantastic
Quote:

Originally Posted by ursa
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.