IT'S NOT EVEN AN EQUATION??? IT'S AN EXPRESSIONpic.twitter.com/nLGdUflrSk
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sorry, can you explain this please
"ln² x" could mean either "(ln x)²" or "ln (ln x)" depending on which convention you adopt. It almost always means the former, but this is notationally inconsistent with "ln⁻¹ x" which means "exp x"
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thank you. I've taken advanced calculus, I've never seen ln(ln(x)) written out as ln² And my first instinct for ln⁻¹x would be (ln(x))⁻¹, but you're saying it would be e^x?
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Yes. For general functions, f, the convention is that f^0(x) = x, f^{n+1}(x) = f^n( f(x) ), and then f^{-1}(x) is inverse of x to keep this rule going (so f^0(x) = f^{-1}(f(x)). However for specific functions like ln, sin, etc. this is abandoned. See e.g. https://en.wikipedia.org/wiki/Function_composition#Functional_powers …
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