document.write( "Question 377689:
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document.write( " i need help with this problem: 2^2x+ 2^x - 12=0
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document.write( "This is what i tried, but i think it's wrong:\r
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document.write( "I tried to factor out: (2^x+6)(1^x-2), and now i am totally lost! pls help! Thx! Pls note: the \"2x\" and the \"x\" are exponents of the numbers 2. difficult to show that on this screen.
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Algebra.Com's Answer #268385 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! i need help with this problem: 2^2x+ 2^x - 12=0 \n" ); document.write( "---- \n" ); document.write( "It's a quadratic written in 2^x. \n" ); document.write( "--- \n" ); document.write( "Let w = 2^x \n" ); document.write( "---- \n" ); document.write( "w^2 + w -12 = 0 \n" ); document.write( "Factor: \n" ); document.write( "(w+4)(w-3) = 0 \n" ); document.write( "w = -4 or w = 3 \n" ); document.write( "---- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "2^x = -4 \n" ); document.write( "Impossible \n" ); document.write( "---- \n" ); document.write( "2^x = 3 \n" ); document.write( "x = ln3/ln2 \n" ); document.write( "x = 1.4651.. \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |