When writing I found it a lot easier to say $\log^2x$ to mean $(\log x)^2$, but I didn't think about the ambiguity; because it is possible that can be interpreted as $\log\log x$.
My question is, what does $\log^2 x$ usually mean, or does it vary by source?
I'm trying to figure out whether it would be worth me getting in the habit of just avoiding the ambiguity completely.