Re: log expression not simplified
- To: mathgroup at smc.vnet.net
- Subject: [mg115688] Re: log expression not simplified
- From: Michael Weyrauch <michael.weyrauch at gmx.de>
- Date: Tue, 18 Jan 2011 05:51:27 -0500 (EST)
- References: <ih16cv$jke$1@smc.vnet.net>
The following works and produces -1 as a result
Simplify[FullSimplify[ComplexExpand[Log[a/b]/Log[b/a]]],
Assumptions -> {a > 0, b > 0}]
Its probably so complicated because of the cut of Log[] on the real axis
(in the complex plane).
Michael
Am 17.1.2011 11:41, schrieb Praeceptor:
> Sorry, can anybody help me understand why
>
> Simplify[Log[a/b]/Log[b/a], Assumptions -> {a> 0, b> a}]
>
> doesn't reduce to -1 ??
> Thanks (it's for a simple Carnot cycle calculation...)!
>