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Math - Write expression as single logarithm

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Write the expression below as a single logarithm. Please show all of your work.

ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))

  • Math - Write expression as single logarithm -

    ln((x^2 – 1)/(x^2 – 6x + 8)) – ln((x+1)/(x+2))

    when you subtract the logs, you divide the arguments

    ln (x+1)(x-1) / [(x+1)(x-1)((x-4)(x-2)]

    ln 1/[(x-4)(x-2)]

    ln [ (x-4)(x-2) ]^-1

    -ln [ (x-4)(x-2)]

  • Math - Write expression as single logarithm -

    6logb v+2logb t

  • Math - Write expression as single logarithm -

    12logb^2vt

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