SOLUTION: log base 2 (x-3) = log base 2 (x-2)

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Question 136595: log base 2 (x-3) = log base 2 (x-2)
Answer by solver91311(24713) About Me  (Show Source):
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log%28b%2Ca%29=log%28b%2Cc%29 if and only if a=c, so if log%282%2C%28x-3%29%29+=+log%282%2C%28x-2%29%29, then x-3=x-2 which leads to the absurdity that -3=-2. Therefore the solution set for log%282%2C%28x-3%29%29+=+log%282%2C%28x-2%29%29 is the empty set.