SOLUTION: i really don't understand thisss. 2 log3 (x) + log 3 (5) = log3 (14x+3)

Question 432875: i really don't understand thisss.
2 log3 (x) + log 3 (5) = log3 (14x+3)

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2 log3 (x) + log 3 (5) = log3 (14x+3)
log(x^2) + log(5) = log(14x+3)
log(5x^2) = log(14x+3)
5x^2 = 14x+3
5x^2 - 14x - 3 = 0
(5x + 1)*(x - 3) = 0
x = -1/5 Cannot be a root, it would be the log of a negative number.
-------------
x = 3

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