Solve for zzz in ez=1+i3e^z = 1 + i\sqrt{3}ez=1+i3.
ln2+i(π3+2kπ)\ln 2 + i(\frac{\pi}{3} + 2k\pi)ln2+i(3π+2kπ)
ln2+iπ3\ln 2 + i\frac{\pi}{3}ln2+i3π
ln2+iπ6\ln 2 + i\frac{\pi}{6}ln2+i6π
ln4+i(π3+2kπ)\ln 4 + i(\frac{\pi}{3} + 2k\pi)ln4+i(3π+2kπ)