Is ln 2x the same as ln x 2?
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In normal mathematical usage lnx2 means ln(x2); both are equal to 2lnx and have derivative 2x. Of course (lnx)2 is something altogether different; if W|A interprets lnx2 to mean (lnx)2, it should give different derivatives, but that’s a non-standard interpretation of lnx2.