Ln(4-3x^2)^1/2

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Solution for Ln(4-3x^2)^1/2 equation: 


D( x )

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

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

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

4-3*x^2 <= 0

-3*x^2 <= -4

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

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 (-oo:-(4/3)^(1/2)> U <(4/3)^(1/2):+oo)

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

((ln(4-(3*x^2)))^1)/2 = 0

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

1/2*ln(4-3*x^2) = 0 // : 1/2

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

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

4-3*x^2 = e^0

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

-3*x^2 = -3 // : -3

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

x in { 1, -1 }

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