Step-by-step explanation:
9^(2x+1) = 81^(x-2)/ 3^x
or, 9^(2x+1)/ 9^2(x-2) = 1/3^x
or 9^( 2x+1+2x-2) = 1/3^x
or, 9^(4x-1) = 3^-x
or, 3^(8x-2) = 3^-x
or, 8x-2 = -x
or, 8x+x = 2
or, 9x = 2
or , x = 2/9
