0,15=ln(3/x)

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Solution for 0,15=ln(3/x) equation:


D( x )

3/x <= 0

x = 0

3/x <= 0

3/x <= 0

3*x^-1 <= 0

3*x^-1 <= 0 // : 3

x^-1 <= 0/3

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)

0.15 = ln(3/x) // - ln(3/x)

0.15-ln(3/x) = 0

0.15-ln(3/x) = 0 // - 0.15

-ln(3/x) = -0.15

-ln(3/x) = -0.15 // * -1

ln(3/x) = ln(e^0.15)

3/x = e^0.15

3/x-e^0.15 = 0

3*x^-1 = e^0.15 // : 3

x^-1 = (e^0.15)/3

-1 < 0

1/(x^1) = (e^0.15)/3 // * x^1

1 = ((e^0.15)/3)*x^1 // : (e^0.15)/3

3*e^-0.15 = x^1

x = 3*e^-0.15

x = 3*e^-0.15

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