# math/calculus

posted by Roger

solve the equation

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

all a's are lower

1. 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

2. DRmT3DkwpBEe

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