3ln(x^2/4)+ln(3x)

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Solution for 3ln(x^2/4)+ln(3x) equation: 


D( x )

3*x <= 0

(x^2)/4 <= 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

(x^2)/4 <= 0

(x^2)/4 <= 0

1/4*x^2 <= 0

1/4*x^2 <= 0 // : 1/4

x^2 <= 0/1/4

x^2 <= 0

x in <0:0>

x in (0:+oo)

3*ln((x^2)/4)+ln(3*x) = 0

ln(1*((x^2)/4)^3)+ln(3*x) = 0

ln(1*3*x*((x^2)/4)^3) = 0

ln(3*x*((x^2)/4)^3) = 0

ln(3*x*((x^2)/4)^3) = ln(e^0)

3*x*((x^2)/4)^3 = e^0

3*x*((x^2)/4)^3-e^0 = 0

3/64*x^7 = 1 // : 3/64

x^7 = 64/3

x^7 = 64/3 // ^ 1/7

x = (64/3)^(1/7)

x = (64/3)^(1/7)

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