hello all, i have the following question which i am trying to solve. express ln1+ e^i in the form a + ib.

what i have done.

ln both sides therefore

i = ln (a+ib)

i= ln a + ln ib

equating real and imaginary parts

ln a = 0

a= 1

and

i = ln ib

1= ln b

b= e

ans= 1+ie

is this correct? if not how would i appraoch the problem. thanks.