document.write( "Question 377689:
\n" ); document.write( " i need help with this problem: 2^2x+ 2^x - 12=0
\n" ); document.write( "This is what i tried, but i think it's wrong:\r
\n" ); document.write( "\n" ); 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.
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #268385 by stanbon(75887)\"\" \"About 
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( "
\n" );