ln(x^2-9)/8x

Solution for ln(x^2-9)/8x equation:

D( x )

x^2-9 <= 0

x^2-9 <= 0

x^2-9 <= 0

1*x^2 <= 9

1*x^2 <= 9 // : 1

x^2 <= 9/1

x^2 <= 9

x^2 <= 9 // ^ 1/2

abs(x) <= 3

x in <-3:3>

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

x*(ln(x^2-9)/8) = 0

x = 0

ln(x^2-9)/8 = 0

1/8*ln(x^2-9) = 0 // : 1/8

ln(x^2-9) = 0

ln(x^2-9) = ln(e^0)

x^2-9 = e^0

x^2-e^0-9 = 0

1*x^2 = 10 // : 1

x^2 = 10

x^2 = 10 // ^ 1/2

abs(x) = 10^(1/2)

x = 10^(1/2) or x = -10^(1/2)

x*(ln(x^2-9)/8) = 0  <=>  x = 0 or x*(ln(x^2-9)/8) = 0  <=>  ln(x^2-9)/8 = 0

x in { 0} 

x in { 10^(1/2), -10^(1/2) }