ln(5y^2x^4/7z)

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Solution for ln(5y^2x^4/7z) equation:


D( x )

((5*x^4*y^2)/7)*z <= 0

((5*x^4*y^2)/7)*z <= 0

((5*x^4*y^2)/7)*z <= 0

((5*x^4*y^2)/7)*z = 0

5/7*x^4*y^2*z = 0 // : 5/7*y^2*z

x^4 = 0

x = 0

x <= 0

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

x in (0:+oo)

ln(((5*x^4*y^2)/7)*z) = 0

ln(((5*x^4*y^2)/7)*z) = ln(e^0)

((5*x^4*y^2)/7)*z = e^0

((5*x^4*y^2)/7)*z-e^0 = 0

5/7*x^4*y^2*z = 1 // : 5/7*y^2*z

x^4 = 7/5*y^-2*z^-1

x^4 = 7/5*y^-2*z^-1 // ^ 1/4

abs(x) = (7/5)^(1/4)*y^(-1/2)*z^(-1/4)

x = (7/5)^(1/4)*y^(-1/2)*z^(-1/4) or x = -((7/5)^(1/4)*y^(-1/2)*z^(-1/4))

x in { (7/5)^(1/4)*y^(-1/2)*z^(-1/4), -((7/5)^(1/4)*y^(-1/2)*z^(-1/4)) }

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