24-ln(3/x)=0

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Solution for 24-ln(3/x)=0 equation:


D( x )

3/x <= 0

x = 0

3/x <= 0

3/x <= 0

3*x^-1 <= 0

3*x^-1 <= 0 // : 3

x^-1 <= 0/3

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 = 0

x = 0

x in (0:+oo)

24-ln(3/x) = 0

24-ln(3/x) = 0 // - 24

-ln(3/x) = -24

-ln(3/x) = -24 // * -1

ln(3/x) = ln(e^24)

3/x = e^24

3/x-e^24 = 0

3*x^-1 = e^24 // : 3

x^-1 = (e^24)/3

-1 < 0

1/(x^1) = (e^24)/3 // * x^1

1 = ((e^24)/3)*x^1 // : (e^24)/3

3*e^-24 = x^1

x = 0

x in { 0}

x belongs to the empty set

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