document.write( "Question 132874: Solve : 3(2^(2x)) - 2^(x+2) +1=0
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document.write( "I am having real trouble with this one , I hope someone can help me:) \n" );
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Algebra.Com's Answer #97094 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve : 3(2^(2x)) - 2^(x+2) +1=0 \n" ); document.write( "3(2^(2x) -[2^x*2^2] + 1 = 0 \n" ); document.write( "3(2^2x) -4(2^x] + 1 = 0 \n" ); document.write( "------------- \n" ); document.write( "Let 2^x = w \n" ); document.write( "------------- \n" ); document.write( "Rewrite the equation in \"w\": \n" ); document.write( "3w^2 -4w + 1 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(3w-1)(w-1) = 0 \n" ); document.write( "w = 1/3 or w = 1 \n" ); document.write( "------------------ \n" ); document.write( "Rewrite in terms of \"x\": \n" ); document.write( "2^x = (1/3) or 2^x = 1 \n" ); document.write( "x = [log(1/3)]/[log2] or x = [log1]/[log2] \n" ); document.write( "x = -1.58496... or x = 0 \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |