log(216*x)*1/log(6)*1/(log(x)*1/log(6)-3)+(log(x)*1/log(6)-3)*1/(log(216*x)*1/log(6))>=(20-3*log(x)*1/log(6))*1/(log(x)*1/log(6)*log(x)*1/log(6)-9)

$$frac{frac{1}{log{left (6 right )}} log{left (216 x right )}}{frac{log{left (x right )}}{log{left (6 right )}} – 3} + frac{frac{log{left (x right )}}{log{left (6 right )}} – 3}{frac{1}{log{left (6 right )}} log{left (216 x right )}} geq frac{- frac{3 log{left (x right )}}{log{left (6 right )}} + 20}{frac{frac{1}{log{left (6 right )}} log^{2}{left (x right )}}{log{left (6 right )}} 1 – 9}$$

$$left(frac{1}{36} leq x wedge x leq sqrt{6}right) vee left(-infty < x wedge x < frac{1}{216}right) vee left(216 < x wedge x < inftyright)$$

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(-oo, 1/216) U [1/36, / 6 ] U (216, oo)

$$x in left(-infty, frac{1}{216}right) cup left[frac{1}{36}, sqrt{6}right] cup left(216, inftyright)$$