Solve for x in the equition 27^x-1 ×3^x+1=729

Answer 1

assuming you meant:
27^(x-1) ×3^(x+1)=729
3^(3x-3) * 3(x+1) = 3^6
3^(4x - 2) = 3^6
4x-2 = 6
x = 2