Find all t such that 3^{27^t}=27^{3^t}
3^(27t) = 27^(3t)
==> 3^(27t) = 3^(3t + 3)
==> 27t = 3t + 3
==> t = 3/24 = 1/8
3^{27^t}=27^{3^t}, solve for t
t == 1/2