document.write( "Question 581756: 3. Find all real solutions to the following:
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document.write( "a) log2(x - 2) + log2(x + 1) = log2 10 \n" );
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Algebra.Com's Answer #371800 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! log2(x - 2) + log2(x + 1) = log2 10 \n" ); document.write( "log2(x - 2)(x + 1) = log2 10 \n" ); document.write( "(x - 2)(x + 1) = 10 \n" ); document.write( "x^2+x-2x-2 = 10 \n" ); document.write( "x^2-x-2 = 10 \n" ); document.write( "x^2-x-12 = 0 \n" ); document.write( "(x-4)(x+3) = 0 \n" ); document.write( "x = {-3, 4} \n" ); document.write( "The -3 is an \"extraneous\" solution so we throw it out leaving: \n" ); document.write( "x = 4 \n" ); document.write( " \n" ); document.write( " |