equation

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

               = (6²)^t

 

so equate the exponents

 

3t-1 = 2t

t = 1

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

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

\(3t - 1 = 2t\)

\(t = 1\)

.