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Topic: x^2 = 2^x and x^4 = 4^x
Replies: 5   Last Post: Oct 30, 2013 10:29 PM

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 William Elliot Posts: 2,637 Registered: 1/8/12
Re: x^2 = 2^x and x^4 = 4^x
Posted: Oct 30, 2013 4:09 AM

On Wed, 30 Oct 2013, William Elliot wrote:
> On Mon, 28 Oct 2013, James Ward wrote:
>

> > The two equations:
> >
> > x^2 = 2^x and x^4 = 4^x,
> >
> > both have 3 identical real solutions:

>
> Of course, they're basically the same equations.
>

> > x = 2, 4, and -infinite power tower of (1/sqrt(2))
>
> What's the infinite power tower of (sqr 2)/2?

Is this p it?
a = (sqr 2)/2; a1 = a; a_(j+1) = a^aj; p = lim(j->oo) aj?

Date Subject Author
10/28/13 jimward2@gmail.com
10/28/13 RGVickson@shaw.ca
10/30/13 William Elliot
10/30/13 William Elliot
10/30/13 Virgil
10/30/13 William Elliot