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81^3(x+1)=9^2(x-1)

Solve this equation by expressing both sides as powers of 3.

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No need to go to powers of 3, since 81 = 9^2.

(9^2)^(3x+3) = 9^(2x-2)
so,
6x+6 = 2x-2
x = -2

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