document.write( "Question 818795: Please help me solve this equation:
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document.write( "(2*log(x)-8)/(log(x)+2)=log(x)-3 \n" );
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Algebra.Com's Answer #492791 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! solve this equation: \n" ); document.write( "(2*log(x)-8)/(log(x)+2)=log(x)-3 \n" ); document.write( "*** \n" ); document.write( "let u=log(x) \n" ); document.write( " \n" ); document.write( "2u-8=(u+2)(u-3) \n" ); document.write( "2u-8=u^2-u-6 \n" ); document.write( "u^2-3u+2=0 \n" ); document.write( "(u-2)(u-1)=0 \n" ); document.write( ".. \n" ); document.write( "u=2=log(x) \n" ); document.write( "log(x)=2 \n" ); document.write( "x=10^2=100 \n" ); document.write( "or \n" ); document.write( "u=1=log)x) \n" ); document.write( "log(x)=1 \n" ); document.write( "x=10^1=10 \n" ); document.write( " |