SOLUTION: Solve (1/81)^t = 243^t-2. Thanks

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Question 42247: Solve (1/81)^t = 243^t-2.
Thanks
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Change everything into powers of 3...so from
(1/81)^t = 243^(t-2)
we get
(3^(-4))^t = (3^5)^(t-2)
3^(-4t) = 3^(5t-10)
and thus
-4t = 5t - 10
-9t = -10
t = 10/9