document.write( "Question 768227: Solve the equation:\r
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document.write( "log(x^2+3)=log(x+6)\r
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document.write( "I started by dividing both sides with (x+6) \n" );
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Algebra.Com's Answer #468144 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve the equation: \n" ); document.write( "log(x^2+3)=log(x+6) \n" ); document.write( "I started by dividing both sides with (x+6) \n" ); document.write( "*** \n" ); document.write( "arguments of logs to the same base are equal to each other. \n" ); document.write( "x^2+3=x+6 \n" ); document.write( "x^2-x-3=0 \n" ); document.write( "solve for x by quadratic formula: \n" ); document.write( " \n" ); document.write( "a=1, b=-1, c=-3 \n" ); document.write( "x=[-(-1)±√(-1)^2-4*1*-3)]2*1 \n" ); document.write( "x=[1±√(1+12)]/2 \n" ); document.write( "x=[1±√13]/2 \n" ); document.write( "x≈2.033 \n" ); document.write( "or \n" ); document.write( "x≈-1.303 \n" ); document.write( " |