ln(7/8x^8y)

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Solution for ln(7/8x^8y) equation:


D( x )

(7/8)*x^8*y <= 0

(7/8)*x^8*y <= 0

(7/8)*x^8*y <= 0

(7/8)*x^8*y = 0

7/8*x^8*y = 0 // : 7/8*y

x^8 = 0

x = 0

x <= 0

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

x in (0:+oo)

ln((7/8)*x^8*y) = 0

ln((7/8)*x^8*y) = ln(e^0)

(7/8)*x^8*y = e^0

(7/8)*x^8*y-e^0 = 0

7/8*x^8*y = 1 // : 7/8*y

x^8 = 8/7*y^-1

x^8 = 8/7*y^-1 // ^ 1/8

abs(x) = (8/7)^(1/8)*y^(-1/8)

x = (8/7)^(1/8)*y^(-1/8) or x = -((8/7)^(1/8)*y^(-1/8))

x in { (8/7)^(1/8)*y^(-1/8), -((8/7)^(1/8)*y^(-1/8)) }

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