document.write( "Question 1046401: 2*(3)^2x-8=2*(3)^x+1 \n" ); document.write( "
Algebra.Com's Answer #804200 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! 3^x = y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y^2 - 8 = 2y + 1 \n" ); document.write( "2y^2 - 2y - 9 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Use the quadratic formula: y = 1/2 + sqrt(19)/2 or 1/2 - sqrt(19)/2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y has to be positive, so: x^3 = 1/2 + sqrt(19)/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = (1/2 + sqrt(19)/2)^(1/3) \n" ); document.write( " |