ln((3x^2)-4)/x

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Solution for ln((3x^2)-4)/x equation: 


D( x )

x = 0

3*x^2-4 <= 0

x = 0

x = 0

3*x^2-4 <= 0

3*x^2-4 <= 0

3*x^2 <= 4

3*x^2 <= 4 // : 3

x^2 <= 4/3

x^2 <= 4/3 // ^ 1/2

abs(x) <= (4/3)^(1/2)

x in <-(4/3)^(1/2):(4/3)^(1/2)>

x in (-oo:-(4/3)^(1/2)) U ((4/3)^(1/2):+oo)

ln(3*x^2-4)/x = 0

ln(3*x^2-4)/x = 0 // * x

ln(3*x^2-4) = 0

ln(3*x^2-4) = ln(e^0)

3*x^2-4 = e^0

3*x^2-e^0-4 = 0

3*x^2 = 5 // : 3

x^2 = 5/3

x^2 = 5/3 // ^ 1/2

abs(x) = (5/3)^(1/2)

x = (5/3)^(1/2) or x = -(5/3)^(1/2)

x in { (5/3)^(1/2), -(5/3)^(1/2) }

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