ln(x/(x-9))

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


D( x )

x-9 = 0

x/(x-9) <= 0

x-9 = 0

x-9 = 0

x-9 = 0 // + 9

x = 9

x/(x-9) <= 0

x/(x-9) <= 0

( x-9 )

x-9 <= 0 // + 9

x <= 9

( x )

x+0 <= 0 // - 0

x <= 0

	(-oo:0)	(0:9)	(9:+oo)
x-9	-	-	+
x	-	+	+


x in (-oo:0) U (9:+oo)

ln(x/(x-9)) = 0

ln(x/(x-9)) = ln(e^0)

x/(x-9) = e^0

x/(x-9)-e^0 = 0

x/(x-9)-1 = 0

x/(x-9)+(-1*(x-9))/(x-9) = 0

x-1*(x-9) = 0

9 = 0

9/(x-9) = 0

9/(x-9) = 0 // * x-9

9 = 0

9 = 0

x belongs to the empty set

x belongs to the empty set

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