ln(14/x)=1.86

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Solution for ln(14/x)=1.86 equation: 


D( x )

14/x <= 0

x = 0

14/x <= 0

14/x <= 0

14*x^-1 <= 0

14*x^-1 <= 0 // : 14

x^-1 <= 0/14

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)

ln(14/x) = 1.86 // - 1.86

ln(14/x)-1.86 = 0

ln(14/x)-1.86 = 0 // + 1.86

ln(14/x) = 1.86

ln(14/x) = ln(e^1.86)

14/x = e^1.86

14/x-e^1.86 = 0

14*x^-1 = e^1.86 // : 14

x^-1 = (e^1.86)/14

-1 < 0

1/(x^1) = (e^1.86)/14 // * x^1

1 = ((e^1.86)/14)*x^1 // : (e^1.86)/14

14*e^-1.86 = x^1

x = 14*e^-1.86

x = 14*e^-1.86

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