ln(2x)/6x

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Solution for ln(2x)/6x equation: 


D( x )

2*x <= 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)

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

x = 0

ln(2*x)/6 = 0

1/6*ln(2*x) = 0 // : 1/6

ln(2*x) = 0

ln(2*x) = ln(e^0)

2*x = e^0

2*x-e^0 = 0

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x*(ln(2*x)/6) = 0  <=>  x = 0 or x*(ln(2*x)/6) = 0  <=>  ln(2*x)/6 = 0

x in { 0} 

x = 1/2

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