Find all solutions of given equation and draw them

1. The problem statement, all variables and given/known data

Find all solutions od ##e^z=2+i## and draw at least three of them.





2. Relevant equations







3. The attempt at a solution



##e^z=2+i##



##z=log|2+i|+2\pi in+iarctan(\frac{1}{2})##



Now how on earth do I draw any of them?



I guess the length is ##log|2+i|##. Ok? What about everything else?