Ln(7x)/7x

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Solution for Ln(7x)/7x equation: 


D( x )

7*x <= 0

7*x <= 0

7*x <= 0

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

7*x <= 0 // : 7

x <= 0/7

x <= 0

x in (0:+oo)

x*(ln(7*x)/7) = 0

x = 0

ln(7*x)/7 = 0

1/7*ln(7*x) = 0 // : 1/7

ln(7*x) = 0

ln(7*x) = ln(e^0)

7*x = e^0

7*x-e^0 = 0

7*x-1 = 0 // + 1

7*x = 1 // : 7

x = 1/7

x*(ln(7*x)/7) = 0  <=>  x = 0 or x*(ln(7*x)/7) = 0  <=>  ln(7*x)/7 = 0

x in { 0} 

x = 1/7

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