document.write( "Question 205758: Solve:\r
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document.write( "3^(x^2-3x)=81 \n" );
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Algebra.Com's Answer #155512 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! 3^(x^2 -3x) =81=3^4 \n" ); document.write( ". \n" ); document.write( "x^2 -3x =4,,,,,,,exponents must be equal \n" ); document.write( ". \n" ); document.write( "x^2 -3x -4 =0 \n" ); document.write( ". \n" ); document.write( "(x-4)(x+1) =0 \n" ); document.write( ". \n" ); document.write( "x=4,-1 \n" ); document.write( ". \n" ); document.write( "check,,(4),,,3^((4)^2 -3(4)) =81 \n" ); document.write( ". \n" ); document.write( "3^(16-12) =3^4 = 81,,,,ok \n" ); document.write( ". \n" ); document.write( "(-1),,,,,3^( (-1)^2 -3(-1))= 3^(1+3) = 3^4 =81,,,,ok \n" ); document.write( " |