In article <Pine.NEB.firstname.lastname@example.org>, William Elliot <email@example.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. --