I seek a function $f(x)$ such that $f(f(x)) = \log(x) \forall x > 0$ .
If possible, $f$ should be monotonic and $\log(x) < f(x) < x, \forall x > 0$
How would I go about this? Does such a function exist?
2026-04-05 22:19:19.1775427559
$f(f(x)) = \log(x) \forall x > 0$, what is $f$?
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