simple math

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How would I figure this out:

4^t = 8^t-1

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

  • simple math -

    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

  • simple math -

    Thanks so much :)

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