2.5=ln(7/x)

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Solution for 2.5=ln(7/x) equation:


D( x )

x = 0

7/x <= 0

x = 0

x = 0

7/x <= 0

7/x <= 0

7*x^-1 <= 0

7*x^-1 <= 0 // : 7

x^-1 <= 0/7

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)

2.5 = ln(7/x) // - ln(7/x)

2.5-ln(7/x) = 0

2.5-ln(7/x) = 0 // - 2.5

-ln(7/x) = -2.5

-ln(7/x) = -2.5 // * -1

ln(7/x) = ln(e^2.5)

7/x = e^2.5

7/x-e^2.5 = 0

7*x^-1 = e^2.5 // : 7

x^-1 = (e^2.5)/7

-1 < 0

1/(x^1) = (e^2.5)/7 // * x^1

1 = ((e^2.5)/7)*x^1 // : (e^2.5)/7

7*e^-2.5 = x^1

x = 7*e^-2.5

x = 7*e^-2.5

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