Question

principal branch of log(1-i)

Answer 1

if someone can go step by step i would really appreciate it

Answer 2

pv log(z) = Log(z) = ln|z| + i(Arg(z))

Answer 3

i have absolutely no clue on this problem

Answer 4

As in solutions to tan(x) = y, there are many values for x, but just one principal value (the one that solves Arctan(y) = x).

Answer 5

z=1-i
|z| = sqrt(2)
Arg(z) = -pi/4