# Complex powers

1. Feb 6, 2012

### 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?

2. Feb 6, 2012

### LCKurtz

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

3. Feb 6, 2012

### fauboca

That is really all there is to it?

4. Feb 6, 2012

### LCKurtz

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

5. Feb 6, 2012

### fauboca

Yes that is correct.