How would I figure this out:

Question

4^t = 8^t-1

Just by looking at it, I know that x = 3 but how would I figure this out mathematically?

Answer 1

4^t = (2^2)^t = 2^(2t)
8^(t-1) = (2^3)^(t-1) = 2^(3t-3)

so 2^(3t-3) = 2^(2t)
then 3t-3 = 2t
t = 3

Answer 2

Thanks so much :)