Solve for
x, if:
3
x
x
x = 3
An algebraic solution is sought!
(In reply to
re: Yikes by SilverKnight)
I agree that righttoleft (upperright to lower left) is the way, so that the spreadsheet can solve (after taking log of both sides twice) x^3*log(x) + log(log(x)) = log(log(3))
Having a cell in Excel for x^3 (as well as the other components), and using Solver to equate the two sides, it shows that x^3 = 3.
Then it becomes obvious: when x is the cube root of 3, the top x^3 is 3; then the next one is also 3, and so on; it could actually go on for any number of levels. At that point it is: aha! why didn't I think of that?

Posted by Charlie
on 20040511 13:41:49 