Probably a stupid question, but I need to rank a selection of a few functions by growth rate, and there's a notation for one of the log functions I'm unfamiliar with. What I'm seeing is a log raised directly to an exponent - is this the same as how cos(x)*cos(x) is written as cos^2(x)? Attached is a screenshot. I've plugged log^3 into Desmos to try and visualize the function, but it doesn't even graph it, and I haven't found anything helpful on Google. Could anybody explain the notation to me? Screenshot here
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Short answer: yes. That distinguishes it from $\log (x^3)=3\log x$. – insipidintegrator Jul 10 '22 at 16:28
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For some basic information about writing mathematics at this site see, e.g., here, here, here and here. – Another User Jul 10 '22 at 16:28
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1Desmos gives you a warning, iirc, if you try to plot a function ^3 or higher. Desmos supports e.g. $\sin^2$ notation but not $\sin^3$ notation (this was true the last time I tried) – FShrike Jul 10 '22 at 17:05