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Rubber Ducky©
Lv 4
log equations hw help....?
log(x+5) = log(x-1) + log(x+1)
How would i go about solving this problem. THanks
1 Answer
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- DaleLv 51 decade agoFavorite Answer
By the rules of logs, log(a) + log(b) = log(ab)
log(x+5) = log(x-1) + log(x+1)
log(x+5) = log(x-1)(x+1)
x + 5 = (x - 1)(x + 1)
x + 5 = x^2 - 1
x^2 - x - 6 = 0
(x - 3)(x + 2) = 0
x = 3, -2
x = -2 is an extraneous solution
x = 3 is the answer
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