For complex numbers z satisfying Re(z) 0, show that (7) can be written as Ln z 1 2
Chapter 17, Problem 49(choose chapter or problem)
For complex numbers z satisfying Re(z) > 0, show that (7) can be written as
\(\operatorname{Ln} z=\frac{1}{2} \log _{e}\left(x^{2}+y^{2}\right)+i \tan ^{-1} \frac{y}{x}\).
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