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Re: Help with Identities

• To: mathgroup at smc.vnet.net
• Subject: [mg65596] Re: Help with Identities
• From: Bhuvanesh <lalu_bhatt at yahoo.com>
• Date: Mon, 10 Apr 2006 02:31:16 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

As for the second question, Log[x/y] and Log[x]-Log[y] are related by:

Log[x/y] == Log[x] - Log[y] + 2*Pi*I*Floor[(Pi - Arg[x] + Arg[y])/(2*Pi)]

For x>0 && y>0 the Floor term vanishes.

In[1]:= Simplify[Log[x]-Log[y]-Log[x/y], x>0 && y>0]

Out[1]= 0

Bhuvanesh,
Wolfram Research.