Complex Analysis: Theory and Applications · Problem 5.2.1

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-logarithm

Problem

Find all values for ((a)) Log(ie2)\mathrm{Log}(ie^2). ((b)) Log(3−i)\mathrm{Log}(\sqrt{3} - i). ((c)) Log(i2−2)\mathrm{Log}(i\sqrt{2} - \sqrt{2}). ((d)) Log[(1+i)4]\mathrm{Log}[(1+i)^4]. ((e)) log⁡(−3)\log(-3). ((f)) log⁡8\log 8. ((g)) log⁡(4i)\log(4i). ((h)) log⁡(−3−i)\log(-\sqrt{3} - i).

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