SOLUTION: log3(3x+6)-log3(x-6)=2

Question 206259: log3(3x+6)-log3(x-6)=2
Found 2 solutions by Marth, nerdybill:
Answer by Marth(57) (Show Source): You can put this solution on YOUR website!
Remember that
So given
Simplify into

So,
Now you can remove the logarithms on both sides.

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Applying log rules:
log3(3x+6)-log3(x-6)=2
log3[(3x+6)/(x-6)]=2
(3x+6)/(x-6) = 3^2
(3x+6)/(x-6) = 9
(3x+6) = 9(x-6)
3x+6 = 9x-54
6 = 6x-54
60 = 6x
10 = x

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