1=0.2*ln(10.0794/x)

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Solution for 1=0.2*ln(10.0794/x) equation:


D( x )

x = 0

10.0794/x <= 0

x = 0

x = 0

10.0794/x <= 0

10.0794/x <= 0

10.0794*x^-1 <= 0

10.0794*x^-1 <= 0 // : 10.0794

x^-1 <= 0/10.0794

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)

1 = 0.2*ln(10.0794/x) // - 0.2*ln(10.0794/x)

1-(0.2*ln(10.0794/x)) = 0

1-0.2*ln(10.0794/x) = 0

1-0.2*ln(10.0794/x) = 0 // - 1

-0.2*ln(10.0794/x) = -1 // : -0.2

ln(10.0794/x) = -1/(-0.2)

ln(10.0794/x) = 5

ln(10.0794/x) = ln(e^5)

10.0794/x = e^5

10.0794/x-e^5 = 0

10.0794*x^-1 = e^5 // : 10.0794

x^-1 = 0.09921225*e^5

-1 < 0

1/(x^1) = 0.09921225*e^5 // * x^1

1 = 0.09921225*e^5*x^1 // : 0.09921225*e^5

10.07940048*e^-5 = x^1

x = 10.07940048*e^-5

x = 10.07940048*e^-5

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