3.72=ln(3.42/x)

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Solution for 3.72=ln(3.42/x) equation: 


D( x )

x = 0

3.42/x <= 0

x = 0

x = 0

3.42/x <= 0

3.42/x <= 0

3.42*x^-1 <= 0

3.42*x^-1 <= 0 // : 3.42

x^-1 <= 0/3.42

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)

3.72 = ln(3.42/x) // - ln(3.42/x)

3.72-ln(3.42/x) = 0

3.72-ln(3.42/x) = 0 // - 3.72

-ln(3.42/x) = -3.72

-ln(3.42/x) = -3.72 // * -1

ln(3.42/x) = ln(e^3.72)

3.42/x = e^3.72

3.42/x-e^3.72 = 0

3.42*x^-1 = e^3.72 // : 3.42

x^-1 = 0.29239766*e^3.72

-1 < 0

1/(x^1) = 0.29239766*e^3.72 // * x^1

1 = 0.29239766*e^3.72*x^1 // : 0.29239766*e^3.72

3.42000001*e^-3.72 = x^1

x = 3.42000001*e^-3.72

x = 3.42000001*e^-3.72

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