Question

obtain in cartesian form all values of logz
z = -3-2i

Answer 1

\[\log(z)=\ln(|z|)+i\text{arg}(z)\]
\[|-3-2i|=\sqrt{3^2+2^2}=\sqrt{13}\]
\[\arg(z)=\tan^{-1}(\frac{2}{3})+\pi\]

Answer 2

thank u