ln(3x^5/2y^(2/3))

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Solution for ln(3x^5/2y^(2/3)) equation: 


D( x )

((3*x^5)/2)*y^(2/3) <= 0

((3*x^5)/2)*y^(2/3) <= 0

((3*x^5)/2)*y^(2/3) <= 0

((3*x^5)/2)*y^(2/3) = 0

3/2*x^5*y^(2/3) = 0 // : 3/2*y^(2/3)

x^5 = 0

x = 0

x <= 0

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


x in (0:+oo)

ln(((3*x^5)/2)*y^(2/3)) = 0

ln(((3*x^5)/2)*y^(2/3)) = ln(e^0)

((3*x^5)/2)*y^(2/3) = e^0

((3*x^5)/2)*y^(2/3)-e^0 = 0

3/2*x^5*y^(2/3) = 1 // : 3/2*y^(2/3)

x^5 = 2/3*y^(-2/3)

x^5 = 2/3*y^(-2/3) // ^ 1/5

x = (2/3)^(1/5)*y^(-2/15)

x = (2/3)^(1/5)*y^(-2/15)

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