ln((5/4x^4)y)

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Solution for ln((5/4x^4)y) equation: 


D( x )

(5/4)*x^4*y <= 0

(5/4)*x^4*y <= 0

(5/4)*x^4*y <= 0

(5/4)*x^4*y = 0

5/4*x^4*y = 0 // : 5/4*y

x^4 = 0

x = 0

x <= 0

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


x in (0:+oo)

ln((5/4)*x^4*y) = 0

ln((5/4)*x^4*y) = ln(e^0)

(5/4)*x^4*y = e^0

(5/4)*x^4*y-e^0 = 0

5/4*x^4*y = 1 // : 5/4*y

x^4 = 4/5*y^-1

x^4 = 4/5*y^-1 // ^ 1/4

abs(x) = (4/5)^(1/4)*y^(-1/4)

x = (4/5)^(1/4)*y^(-1/4) or x = -((4/5)^(1/4)*y^(-1/4))

x in { (4/5)^(1/4)*y^(-1/4), -((4/5)^(1/4)*y^(-1/4)) }

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