Logs of imaginary numbers?

Question

Please answer the following question: log 39 i squared to the power of x base 7 arguement squareroot of 9908 to the cuberoot of 5i.

Answer 1

I don´t understand your question
In general if you have a complex number in polar form
z= r ln z= ln(r) +i*(t+2k*pi) where ln(r) is the real ln of r and k any integer
so ln(z) has infinite many values
for k=0 you get the so called principal value
Hope you can do your work