[seqfan] Re: 2(x - 1)^x = x^x
yae9911 at gmail.com
Mon Feb 26 15:17:02 CET 2018
The only interesting spot in the function f(x)=x^x - 2*(x-1)^x might be the
minimum which occurs at
(x,f) = (1.14002486038462995..., 0.948479295289... )
On Mon, Feb 26, 2018 at 2:23 PM, Neil Fernandez <primeness at borve.org> wrote:
> JSG - Do you mean 2|x - 1|^x = x^x,
> which has a solution x = 0.722892...?
> In message <firstname.lastname@example.org>, rgwv at rgwv.com
> >Graph it first and then you will see that it never touches the X axis.
> >-----Original Message-----
> >From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of ????
> >Sent: Monday, 26 February, 2018 2:32 AM
> >To: Michael De Vlieger <seqfan at list.seqfan.eu>
> >Subject: [seqfan] 2(x - 1)^x = x^x
> >Dear SeqFans.
> >Help find the first members of this sequence:
> >Decimal expansion of the real positive solution to 2(x - 1)^x = x^x.
> >Thanks. JSG.
> Seqfan Mailing list - http://list.seqfan.eu/
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