6ln(x/2)-2ln(x/3)

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Solution for 6ln(x/2)-2ln(x/3) equation:


D( x )

x/3 <= 0

x/2 <= 0

x/3 <= 0

x/3 <= 0

1/3*x+0 <= 0 // - 0

1/3*x <= 0 // : 1/3

x <= 0/1/3

x <= 0

x/2 <= 0

x/2 <= 0

1/2*x+0 <= 0 // - 0

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

x <= 0/1/2

x <= 0

x in (0:+oo)

6*ln(x/2)-(2*ln(x/3)) = 0

6*ln(x/2)-2*ln(x/3) = 0

ln(1*(x/2)^6)-2*ln(x/3) = 0

ln((1*(x/2)^6)/((x/3)^2)) = 0

ln(((x/2)^6)/((x/3)^2)) = 0

ln(((x/2)^6)/((x/3)^2)) = ln(e^0)

((x/2)^6)/((x/3)^2) = e^0

((x/2)^6)/((x/3)^2)-e^0 = 0

9/64*x^4 = 1 // : 9/64

x^4 = 64/9

x^4 = 64/9 // ^ 1/4

abs(x) = (64/9)^(1/4)

x = (64/9)^(1/4) or x = -(64/9)^(1/4)

x in { -(64/9)^(1/4)}

x = (64/9)^(1/4)

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