write the expression as a single logarithm

Question

In(x/x-2)+In(x+2/x)-In(x^2-4)

Please show work

Answer 1

Basic rules: lna+lnb=ln(ab) and lna-lnb=ln(a/b) also lna^x=xlna

ln[x/(x-2)*(x+2/x)]-ln(x^2-4)= ln[(x^2+2)/(x-2)]-ln(x^2-4)= ln [divide]hence simplify fraction and get answer