
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?

