CVEL10

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Solve e^z = (1+i)/\sqrt{2}\,

z = \ln\Bigg| \frac{1+i}{\sqrt{2}} \Bigg| + i\mathrm{arg}\left(\frac{1+i}{\sqrt{2}}\right)\,

The solution is

z = i\frac{\pi}{4} + 2\pi i k, k\isin \mathbb{Z}\,


Main Page : Complex Variables : Exponential and Log

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