SOLUTION: How would you solve log base 6 of 2x + log base 6 of (x-2) = 1? Our teacher said the answer should be 3. So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How would you solve log base 6 of 2x + log base 6 of (x-2) = 1? Our teacher said the answer should be 3. So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2      Log On


   



Question 681634: How would you solve log base 6 of 2x + log base 6 of (x-2) = 1?
Our teacher said the answer should be 3.
So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2-4x) = 1

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How would you solve log base 6 of 2x + log base 6 of (x-2) = 1?
Our teacher said the answer should be 3.
So far I condensed it to log base 6 of (2x(x-2)) or log base 6 of (2x^2-4x) = 1
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log base 6 of (2x^2-4x) = 1
--> (2x^2-4x) = 6
x^2 - 2x -3 = 0
(x-3)*(x+1) = 0
x = -1 is rejected since log%286%2C-3%29 won't work.
x = 3