- #1

- 423

- 5

## Homework Statement

find -Ln(1-e

^{(i[tex]\theta[/tex]}) (in terms of theta)

(this is me just skipping the part of the problem I know and going straight to what I can't figure out)

## Homework Equations

ln(z) = ln(re

^{i[tex]\theta[/tex]})=Ln(r) + ln(e

^{i[tex]\theta[/tex]}) = Ln(r) + i[tex]\theta[/tex]

## The Attempt at a Solution

I don't really know how to break this logarithm up into real and complex parts, the two ways I considered were

= -(Ln(1-1) + i[tex]\theta[/tex])

but that ends up with Ln(0) which blows up to infinity and doesn't make sense in this problem.

= -(Ln(1) + i[tex]\theta[/tex])

but this is just -i[tex]\theta[/tex] which leaves only an imaginary part, and the problem implies there is a real logarithmic solution as well.