ln(4-x^2/6x)

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Solution for ln(4-x^2/6x) equation: 


D( x )

4-(x*((x^2)/6)) <= 0

4-(x*((x^2)/6)) <= 0

4-(x*((x^2)/6)) <= 0

(-1/6)*x^3+4 <= 0

-1/6*x^3 <= -4

-1/6*x^3 <= -4 // * -1

1/6*x^3 >= 4

1/6*x^3 >= 4 // : 1/6

x^3 >= 4/1/6

x^3 >= 24

x^3 >= 24 // ^ 1/3

x >= 2*3^(1/3)

x in <2*3^(1/3):+oo)

x in (-oo:2*3^(1/3))

ln(4-(x*((x^2)/6))) = 0

ln((-1/6)*x^3+4) = 0

ln((-1/6)*x^3+4) = ln(e^0)

(-1/6)*x^3+4 = e^0

(-1/6)*x^3-e^0+4 = 0

-1/6*x^3 = -3 // : -1/6

x^3 = 18

x^3 = 18 // ^ 1/3

x = 18^(1/3)

x = 18^(1/3)

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