Hi,

I need to find all $\displaystyle z~~\text{such that}~~ e^{z} = 1+i$

So let $\displaystyle z =a+bi$ then$\displaystyle e^{a}*e^{bi}$

Now we can write this as $\displaystyle e^{a}*(cos(b) + i sin(b))$

Also i know that the modulus is $\displaystyle \sqrt{2}$

But that's about it really..