document.write( "Question 105760: Solve log(x-1)- log6 = log(x-2)- logx \n" ); document.write( "
Algebra.Com's Answer #76922 by HyperBrain(694)\"\" \"About 
You can put this solution on YOUR website!
\"log%28x-1%29-+log%286%29+=+log%28x-2%29-+log%28x%29\"
\n" ); document.write( "\"log%28%28x-1%29%2F%286%29%29=log%28%28x-2%29%2F%28x%29%29\"
\n" ); document.write( "\"%28x-1%29%2F%286%29=%28x-2%29%2F%28x%29\"\r
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\n" ); document.write( "\n" ); document.write( "By cross multiplication,\r
\n" ); document.write( "\n" ); document.write( "\"6%28x%2B2%29=x%28x-1%29\"
\n" ); document.write( "\"6x%2B12=x%5E2-x\"
\n" ); document.write( "\"x%5E2-x=6x%2B12\"
\n" ); document.write( "\"x%5E2-x%2Bx=6x%2Bx%2B12\"
\n" ); document.write( "\"x%5E2=7x%2B12\"
\n" ); document.write( "\"x%5E2-7x=7x-7x%2B12\"
\n" ); document.write( "\"x%5E2-7x=12\"
\n" ); document.write( "\"x%5E2-7x-12=12-12\"
\n" ); document.write( "\"x%5E2-7x-12=0\"\r
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\n" ); document.write( "\n" ); document.write( "By the quadratic formula,\r
\n" ); document.write( "\n" ); document.write( "\"x=%287%2B-sqrt%287%5E2-4%2A1%2A%28-12%29%29%29%2F%282%2A1%29\"
\n" ); document.write( "\"x=%287%2B-sqrt%2849%2B48%29%29%2F%282%29\"
\n" ); document.write( "\"x=%287%2B-sqrt%2897%29%29%2F%282%29\"
\n" ); document.write( "\"x=%287%2B+sqrt%2897%29%29%2F%282%29\" or \"x=%287-+sqrt%2897%29%29%2F%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain!
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