Solve for
x, if:
3
x
x
x = 3
An algebraic solution is sought!
The order of operations for nested powers is to work your way up right?
x^x^x^3 = (((x^x)^x)^3)
but not (x^(x^(x^3))) [which tends to be much bigger.]
So the equation can be simplified to x^(3x^2) = 3
(I can get a solution of x=1.259615106 on my calculator, but this isn't an algebraic solution.)
Sometimes logarithms help but then you just get
3x^2 log(x) = log(3)
Ok, I'm stumped.

Posted by Jer
on 20040511 09:42:02 