复变函数ln(-2+3i)和ln(ie)怎么算

题目

复变函数ln(-2+3i)和ln(ie)怎么算
l是小写

答案

ln（-2+3i）=1/2ln(13)+iarg(-2+3i)=1/2ln(13)+i(arc tg(3/-2)+π),ln(ie)=lne+iarg(ie)=lne+iπ/2