ln(2250/x)=2.6

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Solution for ln(2250/x)=2.6 equation: 


D( x )

x = 0

2250/x <= 0

x = 0

x = 0

2250/x <= 0

2250/x <= 0

2250*x^-1 <= 0

2250*x^-1 <= 0 // : 2250

x^-1 <= 0/2250

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)

ln(2250/x) = 2.6 // - 2.6

ln(2250/x)-2.6 = 0

ln(2250/x)-2.6 = 0 // + 2.6

ln(2250/x) = 2.6

ln(2250/x) = ln(e^2.6)

2250/x = e^2.6

2250/x-e^2.6 = 0

2250*x^-1 = e^2.6 // : 2250

x^-1 = (e^2.6)/2250

-1 < 0

1/(x^1) = (e^2.6)/2250 // * x^1

1 = ((e^2.6)/2250)*x^1 // : (e^2.6)/2250

2250*e^-2.6 = x^1

x = 2250*e^-2.6

x = 2250*e^-2.6

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