document.write( "Question 136595: log base 2 (x-3) = log base 2 (x-2) \n" ); document.write( "

Algebra.Com's Answer #100035 by solver91311(24713) $\"\"$ $\"About$

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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. \n" ); document.write( "

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