5.8=ln(4/x)

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Solution for 5.8=ln(4/x) equation:


D( x )

x = 0

4/x <= 0

x = 0

x = 0

4/x <= 0

4/x <= 0

4*x^-1 <= 0

4*x^-1 <= 0 // : 4

x^-1 <= 0/4

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)

5.8 = ln(4/x) // - ln(4/x)

5.8-ln(4/x) = 0

5.8-ln(4/x) = 0 // - 5.8

-ln(4/x) = -5.8

-ln(4/x) = -5.8 // * -1

ln(4/x) = ln(e^5.8)

4/x = e^5.8

4/x-e^5.8 = 0

4*x^-1 = e^5.8 // : 4

x^-1 = (e^5.8)/4

-1 < 0

1/(x^1) = (e^5.8)/4 // * x^1

1 = ((e^5.8)/4)*x^1 // : (e^5.8)/4

4*e^-5.8 = x^1

x = 4*e^-5.8

x = 4*e^-5.8

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