Question

The general value of log (-i) is​

Answer 1

Answer:

To find this you need Euler’s Formula:

e^iθ=cos(θ)+i sin(θ)  

To make the right side equal to  −i , you need  cos(θ)=0  and  sin(θ)=−1 . The closest solution to 0 is  θ=−π2 , and the real solutions will repeat every  2π  in either direction. So the powers of  e  you need are  i(−π2+2πn) .