ln(2/x)=1.5

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Solution for ln(2/x)=1.5 equation: 


D( x )

x = 0

2/x <= 0

x = 0

x = 0

2/x <= 0

2/x <= 0

2*x^-1 <= 0

2*x^-1 <= 0 // : 2

x^-1 <= 0/2

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 in (0:+oo)

ln(2/x) = 1.5 // - 1.5

ln(2/x)-1.5 = 0

ln(2/x)-1.5 = 0 // + 1.5

ln(2/x) = 1.5

ln(2/x) = ln(e^1.5)

2/x = e^1.5

2/x-e^1.5 = 0

2*x^-1 = e^1.5 // : 2

x^-1 = (e^1.5)/2

-1 < 0

1/(x^1) = (e^1.5)/2 // * x^1

1 = ((e^1.5)/2)*x^1 // : (e^1.5)/2

2*e^-1.5 = x^1

x = 2*e^-1.5

x = 2*e^-1.5

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