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

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


D( x )

x^(3/2) <= 0

x < 0

3*x <= 0

x^(3/2) <= 0

x^(3/2) <= 0

1*x^(3/2) <= 0

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

x^(3/2) <= 0/1

x^(3/2) <= 0

x >= 0

x in <0:0>

x < 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

x in (0:+oo)

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

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

ln(1*x^6)+ln(3*x) = 0

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

ln(3*x*x^6) = 0

ln(3*x*x^6) = ln(e^0)

3*x*x^6 = e^0

3*x*x^6-e^0 = 0

3*x^7 = 1 // : 3

x^7 = 1/3

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

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

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

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