Re: Simplify problems for checking easy equalities...
- To: mathgroup at smc.vnet.net
- Subject: [mg53875] Re: [mg53856] Simplify problems for checking easy equalities...
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Tue, 1 Feb 2005 04:08:26 -0500 (EST)
- Reply-to: hanlonr at cox.net
- Sender: owner-wri-mathgroup at wolfram.com
Log[(-1)^3]==3*Log[-1]
False
Simplify[Log[x^n]-n*Log[x],{Element[{n,x}, Reals],x>=0}]
0
PowerExpand[Log[x^n]-n*Log[x]]
0
Bob Hanlon
>
> From: cyruserik at tele2.se (Cyrus Erik Eierud)
To: mathgroup at smc.vnet.net
> Date: 2005/01/30 Sun AM 03:18:19 EST
> To: mathgroup at smc.vnet.net
> Subject: [mg53875] [mg53856] Simplify problems for checking easy equalities...
>
> Please Help!
>
> Thanks for all great answers I've already found here!
> My problem is that I can not simplify what to me seems as a very
> simple equality task. This is what I want Mathematica to return zero
> for:
>
> in[1]:= FullSimplify[Log[x^n] - n*Log[x]]
>
> out[1]= -n Log[x] + Log[x^n])
>
> I have used Simplify to check equalities, but the one above (and many
> other equations similar to the one above) just don't simplify. Am I
> doing anything wrong or does anyone know of a better way to check
> equalities?
>
> Appreciate any help,
> Cyrus Eierud, Student
> cyruserik at tele2.se
>
>