Question

solve the equation

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

all a's are lower

please show work

Answers

Steve
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
DRmT3DkwpBEe
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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