document.write( "Question 36046: Solve for X:\r
\n" ); document.write( "\n" ); document.write( "e^x+3e^-x-18=0 \n" ); document.write( "

Algebra.Com's Answer #22053 by venugopalramana(3286) $\"\"$ $\"About$

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Solve for X:
\n" ); document.write( "e^x+3e^-x-18=0...........LET E^X=Y..THEN....E^(-X)=1/E^X=1/Y...HENCE
\n" ); document.write( "Y+3/Y-18=0....MULTIPLYING WITH Y
\n" ); document.write( "Y^2-18Y+3=0\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"Y+=+%2818+%2B-+sqrt%28+18%5E2-4%2A1%2A3+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( " $\"Y+=+%2818+%2B-+sqrt%28+312+%29%29%2F%282%29+\"$
\n" ); document.write( " $\"Y+=+%289%2B-+sqrt%28+78+%29%29+\"$ =E^X
\n" ); document.write( "TAKING LOGS ON BOTH SIDES TO BASE E,WE GET
\n" ); document.write( "X=2.88 OR -1.78 \n" ); document.write( "

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