Posted by **Roger** on Monday, January 7, 2013 at 11:00pm.

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 -
**Steve**, Tuesday, January 8, 2013 at 12:24am
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

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