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D( x )
x = 0
1/x <= 0
x-3 <= 0
7*x-24 <= 0
x = 0
x = 0
1/x <= 0
1/x <= 0
1*x^-1 <= 0
1*x^-1 <= 0 // : 1
x^-1 <= 0/1
x^-1 <= 0
1/(x^1) <= 0
x <> 0
1/(x^1) <= 0 // * x^2
(x^2)/(x^1) <= 0
x^1 <= 0
x <= 0
x in (-oo:0)
x-3 <= 0
x-3 <= 0
x-3 <= 0 // + 3
x <= 3
7*x-24 <= 0
7*x-24 <= 0
7*x-24 <= 0 // + 24
7*x <= 24 // : 7
x <= 24/7
x in (24/7:+oo)
ln(x-3)-ln(7*x-24) = ln(1/x) // - ln(1/x)
ln(x-3)-ln(7*x-24)-ln(1/x) = 0
ln(1*(x-3))-ln(7*x-24)-ln(1/x) = 0
ln((1*(x-3))/(7*x-24))-ln(1/x) = 0
ln(((1*(x-3))/(7*x-24))/(1/x)) = 0
ln(((x-3)/(7*x-24))/(1/x)) = 0
ln(((x-3)/(7*x-24))/(1/x)) = ln(e^0)
((x-3)/(7*x-24))/(1/x) = e^0
((x-3)/(7*x-24))/(1/x)-e^0 = 0
(x-3)/(x^-1*(7*x-24))-1 = 0
(x-3)/(x^-1*(7*x-24))+(-1*x^-1*(7*x-24))/(x^-1*(7*x-24)) = 0
x-1*x^-1*(7*x-24)-3 = 0
x+24*x^-1-10 = 0
x+24*x^-1-10 = 0
1*x^1+24*x^-1-10*x^0 = 0
(1*x^2-10*x^1+24*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^2-10*x^1+24*x^0) = 0
x^1
x^2-10*x+24 = 0
x^2-10*x+24 = 0
DELTA = (-10)^2-(1*4*24)
DELTA = 4
DELTA > 0
x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)
x = 6 or x = 4
x in { 4, 6}
(x-4)*(x-6) = 0
((x-4)*(x-6))/(x^-1*(7*x-24)) = 0
((x-4)*(x-6))/(x^-1*(7*x-24)) = 0 // * x^-1*(7*x-24)
(x-4)*(x-6) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-6 )
x-6 = 0 // + 6
x = 6
x in { 4, 6 }
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