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As a complement to this question: What's the correct notation for log squared? What is the correct notation for $\log (\log \log ( ... \log((n))))$?

By analogy, with the $n$th derivative of $f(x)$, one could write $f^{(n)}(x)$ so that it can't be confused with raising $f(x)$ to the $n$th power as $f^n(x)$ could. Is there some convention like that?

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rsegal
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    a) $\log \log x$, b) explain the notation you use and write $\log^3 x$ etc. for the composition, c) $\log^{(\circ 5)} x$, d) sorry, run out of ideas. – Daniel Fischer Oct 11 '13 at 15:05

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