5ln(x^(3/4))+ln(3x)

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Solution for 5ln(x^(3/4))+ln(3x) equation:


D( x )

x < 0

3*x <= 0

x^(3/4) <= 0

x < 0

3*x <= 0

3*x <= 0

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

3*x <= 0 // : 3

x <= 0/3

x <= 0

x^(3/4) <= 0

x^(3/4) <= 0

1*x^(3/4) <= 0

1*x^(3/4) <= 0 // : 1

x^(3/4) <= 0/1

x^(3/4) <= 0

x >= 0

x in <0:0>

x in (0:+oo)

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

3/4*5*ln(x)+ln(3*x) = 0

ln(1*x^(15/4))+ln(3*x) = 0

ln(1*3*x*x^(15/4)) = 0

ln(3*x*x^(15/4)) = 0

ln(3*x*x^(15/4)) = ln(e^0)

3*x*x^(15/4) = e^0

3*x*x^(15/4)-e^0 = 0

3*x^(19/4) = 1 // : 3

x^(19/4) = 1/3

x^(19/4) = 1/3 // ^ 4

x^19 = 1/81 // ^ 1/19

x = (1/81)^(1/19)

x = (1/81)^(1/19)

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