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college algebra

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write the expression as a single logarithm

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

Please show work

  • college algebra - ,

    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

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