Hi, could someone help me with this one?
Find all solutions of
Thanks.
To start with, do the same thing you would if it were a "real numbers" problem. Add 2 to both sides to get
and then
Now, if a complex number, z, is written in "polar form", then
So just write 2+ 2i in "polar form". Don't forget that whatever is, adding to it doesn't change z but will give different logarithms. That the reason for the "all solutions".