5ln(15/x)

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Solution for 5ln(15/x) equation: 


D( x )

x = 0

15/x <= 0

x = 0

x = 0

15/x <= 0

15/x <= 0

15*x^-1 <= 0

15*x^-1 <= 0 // : 15

x^-1 <= 0/15

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)

5*ln(15/x) = 0

5*ln(15/x) = 0 // : 5

ln(15/x) = 0

ln(15/x) = ln(e^0)

15/x = e^0

15/x-e^0 = 0

15*x^-1 = 1 // : 15

x^-1 = 1/15

-1 < 0

1/(x^1) = 1/15 // * x^1

1 = 1/15*x^1 // : 1/15

15 = x^1

x = 15

x = 15

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