document.write( "Question 256929: e^(2x)-3e^x+2=0 \n" ); document.write( "

Algebra.Com's Answer #188970 by Fombitz(32388) $\"\"$ $\"About$

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

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