document.write( "Question 867256: Solve
\n" ); document.write( "a)log(x+1) = log 6 - log x
\n" ); document.write( "b)ln(x-2) + ln(3) = ln(x+1)\r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)\r
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Algebra.Com's Answer #522952 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
a) \"log%28%28x%2B1%29%29+=+log%286%29-+log%28x%29\"
\n" ); document.write( "\"log%28%28x%2B1%29%29+=+log%286%2Fx%29\"
\n" ); document.write( "\"x%2B1=6%2Fx\"
\n" ); document.write( "\"x%28x%2B1%29=x%286%2Fx%29\"
\n" ); document.write( "\"x%5E2%2Bx=6\"
\n" ); document.write( "That is a quadratic equation.
\n" ); document.write( "It can be solved several ways, like factoring, using the quadratic formula or completing the square.
\n" ); document.write( "Completing the square:
\n" ); document.write( "\"x%5E2%2Bx=6\"
\n" ); document.write( "\"x%5E2%2Bx%2B1%2F4=6%2B1%2F4\"
\n" ); document.write( "\"%28x%2B1%2F2%29%5E2=25%2F4\" --> \"system%28x%2B1%2F2=5%2F2%2C%22or%22%2Cx%2B1%2F2=-5%2F2%29\"-->\"system%28x=5%2F2-1%2F2%2C%22or%22%2Cx=-5%2F2-1%2F2%29\"}-->\"system%28highlight%28x=2%29%2C%22or%22%2Cx=-3%29\"
\n" ); document.write( "We discard \"x=-3\" because it makes \"log%28x%29\" undefined.
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\n" ); document.write( "b) \"ln%28x-2%29+%2B+ln%283%29+=+ln%28x%2B1%29\"
\n" ); document.write( "\"ln%28%28x-2%29%2A3%29+=+ln%28x%2B1%29\"
\n" ); document.write( "\"%28x-2%29%2A3+=+x%2B1\"
\n" ); document.write( "\"3x-6+=x%2B1\"
\n" ); document.write( "\"3x-x+=1%2B6%29\"
\n" ); document.write( "\"2x=7\"
\n" ); document.write( "\"highlight%28x=7%2F2%29\"
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