Determine the value of xxx for which 9x−4⋅3x+3=09^{x} - 4 \cdot 3^{x} + 3 = 09x−4⋅3x+3=0.
x=0x = 0x=0
x=1x = 1x=1
x=3x = 3x=3
x=−1x = -1x=−1