ln(x^5/2)+ln(9x)

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Solution for ln(x^5/2)+ln(9x) equation:


D( x )

9*x <= 0

(x^5)/2 <= 0

9*x <= 0

9*x <= 0

9*x+0 <= 0 // - 0

9*x <= 0 // : 9

x <= 0/9

x <= 0

(x^5)/2 <= 0

(x^5)/2 <= 0

1/2*x^5 <= 0

1/2*x^5 <= 0 // : 1/2

x^5 <= 0/1/2

x^5 <= 0

x^5 <= 0 // ^ 1/5

x <= 0

x in (-oo:0>

x in (0:+oo)

ln((x^5)/2)+ln(9*x) = 0

ln(1*((x^5)/2))+ln(9*x) = 0

ln(1*9*x*((x^5)/2)) = 0

ln(9*x*((x^5)/2)) = 0

ln(9*x*((x^5)/2)) = ln(e^0)

9*x*((x^5)/2) = e^0

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

9/2*x^6 = 1 // : 9/2

x^6 = 2/9

x^6 = 2/9 // ^ 1/6

abs(x) = (2/9)^(1/6)

x = (2/9)^(1/6) or x = -(2/9)^(1/6)

x in { -(2/9)^(1/6)}

x = (2/9)^(1/6)

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