How do we figure out what is going to be the domain of the log function for complex numbers? It is easy to figure out for inverse trigonometric functions, since we can draw the graph. But how to do the same for log function?

Question

unklerhaukus · Answer

yeah

2bornot2b · Answer

@TuringTest can you help?

turingtest · Answer

I am terrible at complex analysis...
I also didn't get that @ you sent me; I better post that in feedback :S

experimentx · Answer

looks like all numbers ... excluding zero.

2bornot2b · Answer

Thanks for coming!

turingtest · Answer

very welcome!
 if only I could help ....

2bornot2b · Answer

@experimentX The function is a multiple valued function, so there must be an interval. According to my book it says the interval is -pi to +pi, my question was, how to find that range. I hope now I have clarified the thing.

experimentx · Answer

I was talking about log for complex values.

Inverse Trigonometric functions have range pi to -pi, because they are (they are periodic ... period of 2pi) <--- any value in terms of pi can be expressed in terms of -pi and +pi
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