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

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


D( x )

3*x <= 0

(x^3)/2 <= 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

(x^3)/2 <= 0

(x^3)/2 <= 0

1/2*x^3 <= 0

1/2*x^3 <= 0 // : 1/2

x^3 <= 0/1/2

x^3 <= 0

x^3 <= 0 // ^ 1/3

x <= 0

x in (-oo:0>

x in (0:+oo)

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

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

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

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

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

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

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

3/16*x^13 = 1 // : 3/16

x^13 = 16/3

x^13 = 16/3 // ^ 1/13

x = (16/3)^(1/13)

x = (16/3)^(1/13)

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