z为复数 e^Z=3√3 -3i 化解成ln(e^z)=in(3√3 -3i)后该怎么做
问题描述:
z为复数 e^Z=3√3 -3i 化解成ln(e^z)=in(3√3 -3i)后该怎么做
答
e^z=6[cos(5π/3)+sin(5π/3)i]
e^ix=cosx+isinx
e^z=6*e^i*(5π/3)
z=ln6+(5π/3)i