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Re: Simplify Log[ab] - Log[b] to Log[a] ?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16058] Re: Simplify Log[ab] - Log[b] to Log[a] ?
  • From: Paul Abbott <paul at physics.uwa.edu.au>
  • Date: Tue, 23 Feb 1999 03:45:17 -0500
  • Organization: University of Western Australia
  • References: <7ao3po$rv0@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Simon Allfrey wrote:
 
> How do I persuade Mathematica to simplify
> 
> Log[a b] - Log[b] to Log[a]?
> 
> when processing algebraic expressions?

Use PowerExpand:

In[1]:= Log[a b] - Log[b]//PowerExpand
Out[1]= Log[a]

As another example,

In[2]:= Log[a b/c] - Log[b]//PowerExpand
Out[2]= Log[a] - Log[c]

Cheers,
	Paul

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Paul Abbott                                   Phone: +61-8-9380-2734
Department of Physics                           Fax: +61-8-9380-1014
The University of Western Australia           
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AUSTRALIA                        http://www.physics.uwa.edu.au/~paul

            God IS a weakly left-handed dice player
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