# Thread: Help solving complex equation

1. ## Help solving complex equation

hi there all

i need to find the value of x , y
where

2. ## Re: Help solving complex equation

Originally Posted by amro05
i need to find the value of x , y where

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?

3. ## Re: Help solving complex equation

Originally Posted by Plato
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 )