Math 6720 • Applied Complex Variables and Asymptotic Methods

Complete the following:
\begin{enumerate}
\item
(5 pts) Compute all values for \(\log(1-i)\).
\item
(5 pts) Consider the function \(f(z)=z\log(z-2)\). Identify, with justification, the
branch points of this function. In addition, choose a branch cut and identify the
corresponding branch of \(f\).
\end{enumerate}