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![[tex]Log(i^z)=Log(-i^{-z})[/tex]](images/latex/24e56bf535aeaa99c88b7a8e4e83016f286c6032_0.png "[tex]Log(i^z)=Log(-i^{-z})[/tex]")
![[tex]Log(i)=i\pi[/tex]](images/latex/c1987ccd48e7fdfd816f0f529aa8eb0ef88ccd15_0.png "[tex]Log(i)=i\pi[/tex]")
y ![[tex]Log(-a)=Log(a)+i\pi[/tex]](images/latex/85af205005f3e6d2f605d059478f4181ceb3ddd9_0.png "[tex]Log(-a)=Log(a)+i\pi[/tex]")
![[tex]i\pi z=-i\pi z+i\pi[/tex]](images/latex/ea9de703468ae83141c02b6baae4016a68de6053_0.png "[tex]i\pi z=-i\pi z+i\pi[/tex]")
![[tex]z=1/2[/tex]](images/latex/b2478a019259f7a60b4b8b85c31f3a0ebab91a3c_0.png "[tex]z=1/2[/tex]")
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