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Solve log(1/3,x)>=2

 Nov 15, 2016
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\(\log_x\dfrac{1}{3}\geq2\\ x^2\leq\dfrac{1}{3}\\ x\leq \dfrac{\sqrt3}{3} \;or\;x\leq-\dfrac{\sqrt3}{3}\\ \therefore x\leq \dfrac{\sqrt3}{3}\\(\text{because the range }x\leq-\dfrac{\sqrt3}{3}\text{ coincides with the range }x\leq \dfrac{\sqrt3}{3})\)

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 Nov 15, 2016

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