ln(5/6x^6y)

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Solution for ln(5/6x^6y) equation:


D( x )

(5/6)*x^6*y <= 0

(5/6)*x^6*y <= 0

(5/6)*x^6*y <= 0

(5/6)*x^6*y = 0

5/6*x^6*y = 0 // : 5/6*y

x^6 = 0

x = 0

x <= 0

(-oo:0) (0:+oo) x - +

x in (0:+oo)

ln((5/6)*x^6*y) = 0

ln((5/6)*x^6*y) = ln(e^0)

(5/6)*x^6*y = e^0

(5/6)*x^6*y-e^0 = 0

5/6*x^6*y = 1 // : 5/6*y

x^6 = 6/5*y^-1

x^6 = 6/5*y^-1 // ^ 1/6

abs(x) = (6/5)^(1/6)*y^(-1/6)

x = (6/5)^(1/6)*y^(-1/6) or x = -((6/5)^(1/6)*y^(-1/6))

x in { (6/5)^(1/6)*y^(-1/6), -((6/5)^(1/6)*y^(-1/6)) }

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