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   Author  Topic: Complex powers  (Read 1853 times)
srn437
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Re: Complex powers  
« Reply #25 on: Sep 27th, 2007, 4:48pm »
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Your 19th post doesn't fully define it, since some numbers have multiple natural logs(all numbers have multiple logs actually).
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Grimbal
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Re: Complex powers  
« Reply #26 on: Sep 28th, 2007, 8:47am »
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You are right, complex logs are not fully defined.
 
So what are possible values for ln(n) in the complex plane?
 
What does ei·ln(n) give for each value?
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srn437
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Re: Complex powers  
« Reply #27 on: Sep 28th, 2007, 4:47pm »
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For any log, 2pi(i)can be added or subtracted infinitely, since it is the same as multiplying or dividing by 1.
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