Show that $$f(x) = \frac{1}{x\ln x[\ln(\ln x)]^{\frac23}}$$ is decreasing $\forall x > 3$.
How can I show this?
2026-03-25 13:57:00.1774447020
Show that $f(x) = \frac{1}{x\ln x[\ln(\ln x)]^{\frac23}}$ is decreasing for all $x > 3$
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Hint. For $x>e$, the denominator is the product of increasing and positive functions.