MAT334--2020F > Quiz 2

Quiz 2 LEC0101-A

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yuxuan li:

Question: Find all the value(s) of the given expression.

$
\begin{align}
\log({\sqrt{3}-i}) &=\ln{|\sqrt{3}-i|}+i(arg({\sqrt{3}-i}))\notag\\
&=\ln({\sqrt{{(\sqrt{3})^{2}+(-1)^{2}}}})+i(-\frac{\pi}{6}+2k\pi)\notag\\
&=\ln{2}+i(-\frac{\pi}{6}+2k\pi)\text{, where k} \in \mathbb{Z}\notag\\
\end{align}
$

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