Simplifying Log[a] + Log[expr_] - Log[2 expr_]: Brute force necessary?
- To: mathgroup at smc.vnet.net
- Subject: [mg81671] Simplifying Log[a] + Log[expr_] - Log[2 expr_]: Brute force necessary?
- From: "W. Craig Carter" <ccarter at mit.edu>
- Date: Mon, 1 Oct 2007 04:46:19 -0400 (EDT)
Hello, This works as I would hope it would: Simplify[Log[a^2] + Log[b^2] - Log[-2 b^2], Assumptions -> Element[a, Reals] && Element[b, Reals]] It returns -Log[-2/a^2] However, something a little more complicated: Simplify[ Log[4] - - 2 Log[-2 ((R + x)^2 + y^2 + (z - zvar)^2)] + 2 Log[(R + x)^2 + y^2 + (z - zvar)^2]), Assumptions -> {Element[zvar,Reals], Element[x,Reals],Element[y, Reals], Element[z, Reals}] doesn't simplify. I can't see a way to do this, but brute force. Any ideas? Thanks, W. Craig Carter
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- From: Andrzej Kozlowski <akoz@mimuw.edu.pl>
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