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From: howard@metheus.UUCP (Howard A. Landman)
Newsgroups: net.math
Subject: Re: deceptive problem: cont'd
Message-ID: <196@metheus.UUCP>
Date: Sat, 24-Dec-83 02:10:31 EST
Article-I.D.: metheus.196
Posted: Sat Dec 24 02:10:31 1983
Date-Received: Wed, 21-Dec-83 05:19:16 EST
References: <549@sbcs.UUCP>
Organization: Metheus, Portland Oregon
Lines: 16

But of course!  Instead of taking the logarithm of each side, take the
x'th root instead:

	x^x = y

	x = y^(1/x)

This leads to another infinite expansion, similar to the continued fraction:

	x = y^(1/y^(1/y^(1/y^( ... ))))

But this one doesn't use logs so it works for all values (except possibly at
0).

	Howard A. Landman
	ogcvax!metheus!howard