matheboy
Newbie level 1
Please give some clues on how to start....
Let \[f(z) = \log (6 + iz)\] and \[\alpha = 1 + 6i\]
i) Show that \[\alpha\] is in the domain of \[f\] and find \[f(\alpha )\]
ii) Evaluate \[(6 + i\alpha )^{\pi i}\].
Let \[f(z) = \log (6 + iz)\] and \[\alpha = 1 + 6i\]
i) Show that \[\alpha\] is in the domain of \[f\] and find \[f(\alpha )\]
ii) Evaluate \[(6 + i\alpha )^{\pi i}\].