ln(3x)/9x

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Solution for ln(3x)/9x equation: 


D( x )

3*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)

x*(ln(3*x)/9) = 0

x = 0

ln(3*x)/9 = 0

1/9*ln(3*x) = 0 // : 1/9

ln(3*x) = 0

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

3*x = e^0

3*x-e^0 = 0

3*x-1 = 0 // + 1

3*x = 1 // : 3

x = 1/3

x*(ln(3*x)/9) = 0  <=>  x = 0 or x*(ln(3*x)/9) = 0  <=>  ln(3*x)/9 = 0

x in { 0} 

x = 1/3

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