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 ik,k\in {\mathbb  {Z}}\,


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