SOLUTION: log(x)+log(x+3)=log(10)

Question 870642: log(x)+log(x+3)=log(10)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
log(x)+log(x+3)=log(10)

log(x*(x+3))=log(10)

10^[log(x*(x+3))]=10^[log(10)]

x*(x+3) = 10

x^2+3x = 10

x^2+3x-10 = 0

(x + 5)(x - 2) = 0

x + 5 = 0 or x - 2 = 0

x = -5 or x = 2

The domain of log(x) is x > 0, so we toss x = -5.

The only solution is x = 2.
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