ln(1000/x)

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Solution for ln(1000/x) equation: 


D( x )

1000/x <= 0

x = 0

1000/x <= 0

1000/x <= 0

1000*x^-1 <= 0

1000*x^-1 <= 0 // : 1000

x^-1 <= 0/1000

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)

ln(1000/x) = 0

ln(1000/x) = ln(e^0)

1000/x = e^0

1000/x-e^0 = 0

1000*x^-1 = 1 // : 1000

x^-1 = 1/1000

-1 < 0

1/(x^1) = 1/1000 // * x^1

1 = 1/1000*x^1 // : 1/1000

1000 = x^1

x = 1000

x = 1000

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