document.write( "Question 667687: Solve the following for x: (e^4x) - (2e^2x) + 1=0 \n" ); document.write( "
Algebra.Com's Answer #415139 by lwsshak3(11628)\"\" \"About 
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Solve the following for x:
\n" ); document.write( "(e^4x) - (2e^2x) + 1=0
\n" ); document.write( "let u=e^2x
\n" ); document.write( "u^2=e^4x
\n" ); document.write( "..
\n" ); document.write( "u^2-2u+1=0
\n" ); document.write( "(u-1)^2=0
\n" ); document.write( "u=1=e^2x
\n" ); document.write( "e^2x=1
\n" ); document.write( "take log of both sides
\n" ); document.write( "2xlne=ln1
\n" ); document.write( "lne=1
\n" ); document.write( "ln1=0
\n" ); document.write( "2x=0
\n" ); document.write( "x=0
\n" ); document.write( " \n" ); document.write( "
\n" );