How do you approach a problem like (solve for $x$):
$x^{x^{x^{x^{...}}}}=2$
Also, I have no idea what to tag this as.
Thanks for any help.
How do you approach a problem like (solve for $x$):
$x^{x^{x^{x^{...}}}}=2$
Also, I have no idea what to tag this as.
Thanks for any help.
I'm just going to give you a HUGE hint. and you'll get it right way. Let $f(x)$ be the left hand expression. Clearly, we have that the left hand side is equal to $x^{f(x)}$. Now, see what you can do with it.