ln(9/4x^4y)

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Solution for ln(9/4x^4y) equation:


D( x )

(9/4)*x^4*y <= 0

(9/4)*x^4*y <= 0

(9/4)*x^4*y <= 0

(9/4)*x^4*y = 0

9/4*x^4*y = 0 // : 9/4*y

x^4 = 0

x = 0

x <= 0

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

x in (0:+oo)

ln((9/4)*x^4*y) = 0

ln((9/4)*x^4*y) = ln(e^0)

(9/4)*x^4*y = e^0

(9/4)*x^4*y-e^0 = 0

9/4*x^4*y = 1 // : 9/4*y

x^4 = 4/9*y^-1

x^4 = 4/9*y^-1 // ^ 1/4

abs(x) = (4/9)^(1/4)*y^(-1/4)

x = (4/9)^(1/4)*y^(-1/4) or x = -((4/9)^(1/4)*y^(-1/4))

x in { (4/9)^(1/4)*y^(-1/4), -((4/9)^(1/4)*y^(-1/4)) }

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