Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: x^2 = 2^x and x^4 = 4^x
Posted: Oct 30, 2013 4:30 AM

In article <Pine.NEB.4.64.1310300053190.25395@panix3.panix.com>,
William Elliot <marsh@panix.com> 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?

It is, apparently, approximately -0.766664695962, at least that
approximates the other common solution of those two equations.
--

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