document.write( "Question 846092: Solve for x: 6e^(2x)-5e^x= 6 \n" ); document.write( "
Algebra.Com's Answer #510459 by lwsshak3(11628)\"\" \"About 
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Solve for x: 6e^(2x)-5e^x= 6
\n" ); document.write( "let u=e^x
\n" ); document.write( "u^2=e^2x
\n" ); document.write( "..
\n" ); document.write( "6u^2-5u-6=0
\n" ); document.write( "(2u-3)(3u+2)=0
\n" ); document.write( "3u+2=0
\n" ); document.write( "u=-2/3=e^x (reject, e^x>0)
\n" ); document.write( "or
\n" ); document.write( "2u-3=0
\n" ); document.write( "u=3/2=e^x
\n" ); document.write( "xlne=ln(3/2)
\n" ); document.write( "x≈0.4054\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );