# Complex number identity

1. Sep 14, 2011

### zetafunction

let be n and integer and 'i' the imaginary unit

is then true that $$n^{ \frac{2i\pi n}{log}} =1$$

i believe that is true

2. Sep 14, 2011

### AndyJohnD

new to this forum
and newish to complex numbers
could you explain what (2ipin)/log is?
ie what is something/log
It may be that I am unfamiliar with the notation
thanks

3. Sep 15, 2011

### mathman

log by itself is meaningless. You need log(something).

4. Sep 15, 2011

### AndyJohnD

thanks
I thought I would try and prove the identity but then got stuck on log of thin air

5. Sep 16, 2011