Complex Analysis: Theory and Applications · Problem 5.2.13

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-logarithm-counterexample

Problem

Find specific values of

z_1

and

z_2

so that

\mathrm{Log}\left(\frac{z_1}{z_2}\right) \neq \mathrm{Log}(z_1) - \mathrm{Log}(z_2)