[seqfan] Re: 2(x - 1)^x = x^x

Hugo Pfoertner 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... )

Hugo

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...?
>
> Neil
>
> In message <004101d3af00$cdb61780$69224680$@rgwv.com>, rgwv at rgwv.com
> writes
>
> >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.
>
>
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> Seqfan Mailing list - http://list.seqfan.eu/
>


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