(2*(2/3)^{x-1})-(4*(3/2)^x+1) = 0 6^{-x}(3*2^x-4*3^x)(2^x+3^x)=0 6^{-x}(3*4^x-6^x-4*9^x)=0 3*2^x=4*3^x x=log(2)-log(3)/log(2)-log(3)[/tex][/tex]