ln((x+3)/x)=0

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Solution for ln((x+3)/x)=0 equation: 


D( x )

x = 0

(x+3)/x <= 0

x = 0

x = 0

(x+3)/x <= 0

(x+3)/x <= 0

( x+3 )

x+3 <= 0 // - 3

x <= -3

( x )

x+0 <= 0 // - 0

x <= 0

(-oo:-3)(-3:0)(0:+oo)x+3-++x--+

x in (-oo:-3) U (0:+oo)

ln((x+3)/x) = 0

ln((x+3)/x) = ln(e^0)

(x+3)/x = e^0

(x+3)/x-e^0 = 0

(x+3)/x-1 = 0

(x+3)/x+(-1*x)/x = 0

x-1*x+3 = 0

3 = 0

3/x = 0

3/x = 0 // * x

3 = 0

x belongs to the empty set

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