Finding $z$ for a Complex Equation

[fauboca]

How do I find all $z$ that satisfies:

z = \exp\left(2+3i\right)

I know the modulus has to be e^2 and the argument has to be 3 but where do I go from there?

 

[LCKurtz]

That's it. There's only one z equal to that z.

 

[fauboca]

That's it. There's only one z equal to that z.

That is really all there is to it?

 

[LCKurtz]

That is really all there is to it?

Maybe you are supposed to write it in a+bi form?

 

[fauboca]

Maybe you are supposed to write it in a+bi form?

Yes that is correct.