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

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


D( x )

x < 0

3*x <= 0

x^(2/4) <= 0

x < 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*x^(1/2) <= 0

1*x^(1/2) <= 0 // : 1

x^(1/2) <= 0/1

x^(1/2) <= 0

x >= 0

x in <0:0>

x in (0:+oo)

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

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

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

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

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

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

3*x*x^2 = e^0

3*x*x^2-e^0 = 0

3*x^3 = 1 // : 3

x^3 = 1/3

x^3 = 1/3 // ^ 1/3

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

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

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