twoshots wrote:
Well, first of all, if your number is written in rectangular coordinates, I think you mean that
z=-3+i(3√3) (well, the i could be under the radical, but that complicates this problem considerably).
Hence, a=-3, b=3√3.
Once you have R, you should know z=Re^[i(θ+2nπ)].
You therefore need to find a θ satisfying the cosθ and sinθ; this is basic trig. From there, it's just a matter of basic rules of exponentiation.
And complex logarithms are entirely unnecessary.
Assuming he has got the question stated wrong, then yes. Otherwise complex logs are neccessary and imo are something a 19-yo doing maths should know.