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how do you take the natural logs??

 
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Feb19-05, 08:13 PM   #1
 

how do you take the natural logs??


I think this is why I can't do my problems, maybe i'm missing some basic concepts.

ok, so let [tex] L({\theta}) = \theta^{-2n} \prod y e^{-(1/theta)}\sum y [/tex]

taking the natural log, I get

[tex]ln L(\theta) = -2nln\theta + ln \prod y - 1/\theta \sum yi [/tex].

I dont know, how did they do that?

and later, I will need to differentate it too, but and I dont know how to do it either. but for that one, how did they do it?
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Feb19-05, 10:23 PM   #2
 
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I can't make sense of what you've written. Indices and parentheses would help. Anyway, whatever that first expression is supposed to be, there's a good chance you will be able to simplify the logarithm considerably by using log(xy)=log x + log y repeatedly.
Feb19-05, 10:27 PM   #3
 
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That product wrt what is it evaluated...?

Daniel.
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