SOLUTION: log (base 3)(x+9) -log(base 3)x=3 Show me, how to do this problem, so i get it :D

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Question 315788: log (base 3)(x+9) -log(base 3)x=3
Show me, how to do this problem, so i get it :D
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
subtracting logs means dividing quantities

log3[(x+9) / x] = 3

3^3 = 27 , so ___ log3[(x+9) / x] = log3(27)

removing logs ___ (x+9) / x = 27

multiplying by x ___ x + 9 = 27x ___ 9 = 26x ___ 9/26 = x