Ln(90/x)=1

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Solution for Ln(90/x)=1 equation: 


D( x )

90/x <= 0

x = 0

90/x <= 0

90/x <= 0

90*x^-1 <= 0

90*x^-1 <= 0 // : 90

x^-1 <= 0/90

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(90/x) = 1 // - 1

ln(90/x)-1 = 0

ln(90/x)-1 = 0 // + 1

ln(90/x) = 1

ln(90/x) = ln(e^1)

90/x = e^1

90/x-e^1 = 0

90*x^-1 = e // : 90

x^-1 = e/90

-1 < 0

1/(x^1) = e/90 // * x^1

1 = (e/90)*x^1 // : e/90

90*e^-1 = x^1

x = 90*e^-1

x = 90*e^-1

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