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

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Solution for 3ln(x^(2/5))+ln(2x) equation:


D( x )

x^(2/5) <= 0

2*x <= 0

x^(2/5) <= 0

x^(2/5) <= 0

1*x^(2/5) <= 0

1*x^(2/5) <= 0 // : 1

x^(2/5) <= 0/1

x^(2/5) <= 0

x >= 0

x in <0:0>

2*x <= 0

2*x <= 0

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

2*x <= 0 // : 2

x <= 0/2

x <= 0

x in (0:+oo)

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

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

ln(1*x^(6/5))+ln(2*x) = 0

ln(1*2*x*x^(6/5)) = 0

ln(2*x*x^(6/5)) = 0

ln(2*x*x^(6/5)) = ln(e^0)

2*x*x^(6/5) = e^0

2*x*x^(6/5)-e^0 = 0

2*x^(11/5) = 1 // : 2

x^(11/5) = 1/2

x^(11/5) = 1/2 // ^ 5

x^11 = 1/32 // ^ 1/11

x = (1/32)^(1/11)

x = (1/32)^(1/11)

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