math/calculus

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solve the equation

loga(x-5)- loga (x+9)=loga(x-7)-loga(x+9)

all a's are lower

please show work

  • math/calculus -

    collect logs
    log((x-5)/(x+9)) = log((x-7)/(x+9))
    (x-5)/(x+9) = (x-7)/(x-9)
    assuming x ≠ -9,
    x-5 = x-7
    5 = 7

    no solution - typo?
    even easier, add log(x+9) to both sides to get

    log(x-5) = log(x-7)
    x-5 = x-7
    no solution

  • math/calculus -

    JJ, thanks so much! If you have any griakdnds here in the DFW area, you must, must, must take them to this museum! It's not to be missed! Is your grandson an artist or an architect? Thanks for sending to him!!!

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