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D( x )
x-3 = 0
x/(x-3) <= 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x/(x-3) <= 0
x/(x-3) <= 0
( x-3 )
x-3 <= 0 // + 3
x <= 3
( x )
x+0 <= 0 // - 0
x <= 0
(-oo:0) (0:3) (3:+oo) x-3 - - + x - + +
x in (-oo:0) U (3:+oo)
3*ln(x/(x-3))-1 > 0
3*ln(x/(x-3))-1 > 0 // + 1
3*ln(x/(x-3)) > 1 // : 3
ln(x/(x-3)) > 1/3
ln(x/(x-3)) in (1/3:+oo)
ln(x/(x-3)) > ln(e^(1/3))
x/(x-3) > e^(1/3)
x/(x-3)-e^(1/3) > 0
x/(x-3)+(-e^(1/3)*(x-3))/(x-3) > 0
x-e^(1/3)*(x-3) > 0
(1-e^(1/3))*x+3*e^(1/3) > 0
((1-e^(1/3))*x+3*e^(1/3))/(x-3) > 0
((1-e^(1/3))*x+3*e^(1/3))/(x-3) > 0 // * (x-3)^2
((1-e^(1/3))*x+3*e^(1/3))*(x-3) > 0
( (1-e^(1/3))*x+3*e^(1/3) )
(1-e^(1/3))*x+3*e^(1/3) > 0 // - 3*e^(1/3)
(1-e^(1/3))*x > -(3*e^(1/3)) // : 1-e^(1/3)
x < (-(3*e^(1/3)))/(1-e^(1/3))
x < (-3*e^(1/3))/(1-e^(1/3))
( x-3 )
x-3 > 0 // + 3
x > 3
(-oo:3) (3:(-3*e^(1/3))/(1-e^(1/3))) ((-3*e^(1/3))/(1-e^(1/3)):+oo) (1-e^(1/3))*x+3*e^(1/3) + + - x-3 - + +
x in (3:(-3*e^(1/3))/(1-e^(1/3)))
(3:(-3*e^(1/3))/(1-e^(1/3)))
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