equation

6^(3t - 1) = 36^t.

               = (6²)^t

so equate the exponents

3t-1 = 2t

t = 1

$6^{(3t - 1)} = 36^t$

$6^{(3t - 1)} = 6^{2t}$

$3t - 1 = 2t$

$t = 1$