# SOLUTION: I would like help with this question please (2log base 2 (x-6)) - (log base 2 X)= 3 I am lost.

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 Click here to see ALL problems on logarithm Question 634202: I would like help with this question please (2log base 2 (x-6)) - (log base 2 X)= 3 I am lost.Answer by ankor@dixie-net.com(15645)   (Show Source): You can put this solution on YOUR website!(2log base 2 (x-6)) - (log base 2 X)= 3 We can write it 2log2(x-6) - log2(x) = 3 : we can put the exponent inside log log2((x-6)^2) - log2(x) = 3 : Subtraction of logs is divide, we can write it as a single log = 3 : The exponent equiv of logs = Multiply both sides by x (x-6)^2 = 8x : FOIL (x-6)(x-6) = 8x : A quadratic equation x^2 - 12x - 8x + 36 = 0 x^2 - 20x + 36 = 0 Factors to (x-18)(x-2) = 0 Two solutions x = 2; not a solution x-6 would put a neg inside the log and x = 18 is our solution