8ln(5/x)

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Solution for 8ln(5/x) equation: 


D( x )

x = 0

5/x <= 0

x = 0

x = 0

5/x <= 0

5/x <= 0

5*x^-1 <= 0

5*x^-1 <= 0 // : 5

x^-1 <= 0/5

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)

8*ln(5/x) = 0

8*ln(5/x) = 0 // : 8

ln(5/x) = 0

ln(5/x) = ln(e^0)

5/x = e^0

5/x-e^0 = 0

5*x^-1 = 1 // : 5

x^-1 = 1/5

-1 < 0

1/(x^1) = 1/5 // * x^1

1 = 1/5*x^1 // : 1/5

5 = x^1

x = 5

x = 5

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