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Re: FullSimplify with Pi

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  • Subject: [mg84132] Re: [mg84129] FullSimplify with Pi
  • From: Carl Woll <carlw at>
  • Date: Tue, 11 Dec 2007 06:06:46 -0500 (EST)
  • References: <>

Uberkermit wrote:

>I would like to simplify an expression involving Pi. Actually,
>simplifying the expression isn't hard, getting Mathematica to
>recognize the simplification is the hard part. Consider:
>Assuming[Element[x, Reals],
>  FullSimplify[Log[1/Sqrt[2 Pi] Exp[x]]]]
>Mathematica doesn't do anything to simplify this. However, replacing
>the symbol Pi with any other variable in the above leads to the
>trivial substitutions.
>By trivial, I mean:
> Log[Exp[x]] = x, and Log[a/b] = Log[a] - Log[b].
>Why does Pi confuse Mathematica so??
Use PowerExpand:

In[111]:= PowerExpand[Log[1/Sqrt[2 Pi] Exp[x]],
 Assumptions -> Element[x, Reals]]

Out[111]= x+1/2 (-log(2)-log(\[Pi]))

Carl Woll
Wolfram Research

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