(1) How should I parenthesize $\log n \log \log n$? Also: (2) What general rule/rationale is used to do this parenthesization?
To elaborate; I see why $\log\log n$ is unambiguous, but $\log n \log ...$ could mean at least 2 different things:
$\log(n\log(...))$
... or:
$\log(n)*\log(...)$
How do I best decide which one the author intended?