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proof of formula for log(-t) found in Mathematica?


I found this while doing work on complex exponents:

f(t)=Log[-t]=Log[t^2]/2+I*Arg[-t]

It is a result built into Mathematica.
I would like to see how it is derived as it seem counter intuitive in 
it's results.
Respectfully,
Roger L. Bagula


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