hi

Determine whether the functions in the following set are linearly dependent or linearly independent. If they are linearly dependent find a linear equation which they satisfy.

{ ln(x - 1), 2ln(x + 1), 3ln(x^2 - 1) } for x > 2

i know the Wronskian is W(ln(x - 1), 2ln(x + 1), 3ln(x^2 - 1))

= 12ln(x^2 - 1)/((x - 1)^2(x + 1)^2) - 12ln(x + 1)/((x - 1)^2(x + 1)^2)

- 12ln(x - 1)/((x - 1)^2(x + 1)^2)

and if i put x = 5 say, then this equals zero, so equations are lin dependent for some interval I.

My problem is finding a linear equation which they satisfy!

I understand that

12ln(x^2 - 1)/((x - 1)^2(x + 1)^2) - 12ln(x + 1)/((x - 1)^2(x + 1)^2)

- 12ln(x - 1)/((x - 1)^2(x + 1)^2) = 0

how do i explain the rest of the question??

help appreciated