Find the real and imaginary parts of log(a+ib)/(a-ib) | Prove that log(a+ib)/(a-ib)=2itan^-1b/a | find the real and imaginary parts of the complex number loga+ib/a-ib

Find the real and imaginary parts of log(a+ib)/(a-ib) | Prove that log(a+ib)/(a-ib)=2itan^-1b/a | find the real and imaginary parts of the complex number loga+ib/a-ib