document.write( "Question 127692: Solve for x:
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document.write( "a) log base4 (x+2) + log base4 (n-4)=2
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document.write( "b) log base2 (x^2-2) - log base2 (1/2x+5)=1 Can someone please help me with these and show me how to check my answers ?????? \n" );
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Algebra.Com's Answer #93553 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve for x: \n" ); document.write( "a) log base4 (x+2) + log base4 (x-4)=2 \n" ); document.write( "log base4 (x+2)(x-4) = 2 \n" ); document.write( "(x+2)(x-4) = 4^2 \n" ); document.write( "x^2-2x-24=0 \n" ); document.write( "Factor: \n" ); document.write( "(x-6)(x+4)=0 \n" ); document.write( "Positive answer: \n" ); document.write( "x = 6 \n" ); document.write( "--------- \n" ); document.write( "Checking: \n" ); document.write( "log base4 (8) + log base4 (2) = 2 \n" ); document.write( "log base4 [8*2) = 2 \n" ); document.write( "4^2 = 16 \n" ); document.write( "====================\r \n" ); document.write( "\n" ); document.write( "b) log base2 (x^2-2) - log base2 (1/2x+5 = 1 \n" ); document.write( "log base2 [(x^2-2)/((1/2)x+5)] = 1 \n" ); document.write( "[(x^2-2)/((1/2)x+5)] = 2 \n" ); document.write( "x^2-2 = x+10 \n" ); document.write( "x^2-x-12 = 0 \n" ); document.write( "(x-4)(x+3) = 0 \n" ); document.write( "Positive answer: \n" ); document.write( "x = 4 \n" ); document.write( "----------- \n" ); document.write( "Checking: \n" ); document.write( "log base2(14) - log base2 (7) = 1 \n" ); document.write( "log base2[14/7] = 1 \n" ); document.write( "14/7 = 2 \n" ); document.write( "2 = 2 \n" ); document.write( "========= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |