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Topic: exp(log(-1)) = 1 ???
Replies: 1   Last Post: Sep 19, 2011 7:43 PM

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Bob Adams

Posts: 55
Registered: 12/13/04
exp(log(-1)) = 1 ???
Posted: Sep 19, 2011 7:41 PM
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I was playing around an alternate imaginary operator,

x = exp(log(-1))

You can derive the following (assume i = sqrt(-1) as usual)

x = exp(log(-1) = exp(log(i^2))
take log of both sides
log(x) = log(i^2)
x = i^2 = 1

weird!



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