1.0039=ln(0.5/x)

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Solution for 1.0039=ln(0.5/x) equation: 


D( x )

0.5/x <= 0

x = 0

0.5/x <= 0

0.5/x <= 0

0.5*x^-1 <= 0

0.5*x^-1 <= 0 // : 0.5

x^-1 <= 0/0.5

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)

1.0039 = ln(0.5/x) // - ln(0.5/x)

1.0039-ln(0.5/x) = 0

1.0039-ln(0.5/x) = 0 // - 1.0039

-ln(0.5/x) = -1.0039

-ln(0.5/x) = -1.0039 // * -1

ln(0.5/x) = ln(e^1.0039)

0.5/x = e^1.0039

0.5/x-e^1.0039 = 0

0.5*x^-1 = e^1.0039 // : 0.5

x^-1 = 2*e^1.0039

-1 < 0

1/(x^1) = 2*e^1.0039 // * x^1

1 = 2*e^1.0039*x^1 // : 2*e^1.0039

1/(2*e^1.0039) = x^1

x = 1/(2*e^1.0039)

x = 1/(2*e^1.0039)

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