document.write( "Question 335549: solve the equation 4^x+2=3(2^x) by substituting 2^x=y \n" ); document.write( "

Algebra.Com's Answer #240571 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=2%5Ex\"$
\n" ); document.write( " $\"y%5E2=%282%5Ex%29%5E2=2%5E%282x%29=4%5Ex\"$ \r
\n" ); document.write( "\n" ); document.write( "Substituting,
\n" ); document.write( " $\"y%5E2%2B2=3y\"$
\n" ); document.write( " $\"y%5E2-3y%2B2=0\"$
\n" ); document.write( " $\"%28y-1%29%28y-2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"y-1=0\"$
\n" ); document.write( " $\"y=1\"$
\n" ); document.write( " $\"2%5Ex=1\"$
\n" ); document.write( " $\"highlight%28x=0%29\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"y-2=0\"$
\n" ); document.write( " $\"y=2\"$
\n" ); document.write( " $\"2%5Ex=2\"$
\n" ); document.write( " $\"highlight%28x=1%29\"$ \n" ); document.write( "

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