ln(0.1/x)

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Solution for ln(0.1/x) equation: 


D( x )

x = 0

0.1/x <= 0

x = 0

x = 0

0.1/x <= 0

0.1/x <= 0

0.1*x^-1 <= 0

0.1*x^-1 <= 0 // : 0.1

x^-1 <= 0/0.1

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(0.1/x) = 0

ln(0.1/x) = ln(e^0)

0.1/x = e^0

0.1/x-e^0 = 0

0.1*x^-1 = 1 // : 0.1

x^-1 = 10

-1 < 0

1/(x^1) = 10 // * x^1

1 = 10*x^1 // : 10

1/10 = x^1

x = 1/10

x = 1/10

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