5ln(x^(3/2))+ln(3x)

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Solution for 5ln(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)

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

3/2*5*ln(x)+ln(3*x) = 0

ln(1*x^(15/2))+ln(3*x) = 0

ln(1*3*x*x^(15/2)) = 0

ln(3*x*x^(15/2)) = 0

ln(3*x*x^(15/2)) = ln(e^0)

3*x*x^(15/2) = e^0

3*x*x^(15/2)-e^0 = 0

3*x^(17/2) = 1 // : 3

x^(17/2) = 1/3

x^(17/2) = 1/3 // ^ 2

x^17 = 1/9 // ^ 1/17

x = (1/9)^(1/17)

x = (1/9)^(1/17)

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