Write $z = \ln(i)$ as $a+bi$, where $i=\sqrt{-1},\, a,b\in\mathbb R$.
Is anybody able to provide me with a hint to lead me in the right direction?
Write $z = \ln(i)$ as $a+bi$, where $i=\sqrt{-1},\, a,b\in\mathbb R$.
Is anybody able to provide me with a hint to lead me in the right direction?
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Hint: $$i = e^{i\frac{(4k+1)\pi}{2}} \quad \forall k \in \Bbb{Z} $$