Solve for x
x = 3
An algebraic solution is sought!
(In reply to re: Yikes
I agree that right-to-left (upper-right 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 2004-05-11 13:41:49