Ln(20/x)

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Solution for Ln(20/x) equation: 


D( x )

x = 0

20/x <= 0

x = 0

x = 0

20/x <= 0

20/x <= 0

20*x^-1 <= 0

20*x^-1 <= 0 // : 20

x^-1 <= 0/20

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(20/x) = 0

ln(20/x) = ln(e^0)

20/x = e^0

20/x-e^0 = 0

20*x^-1 = 1 // : 20

x^-1 = 1/20

-1 < 0

1/(x^1) = 1/20 // * x^1

1 = 1/20*x^1 // : 1/20

20 = x^1

x = 20

x = 20

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