Here is how you do it guys:
3^t x 9^(t+1) = 1/3
3^t x 3^2(t+1) = 1/3 because 3^2 = 9
3^(3t+2) = 1/3
Now use the log rules
In3^(3t+2) = In(1/3)
(3t+2)In3 = In(1/3)
3t+2 = In(1/3)/In3
3t = (In(1/3)/In3)-2
t = ((In(1/3)/In3)-2)/3
Now sub into calculator
t = -1