Well, isn't that just a happy little math question! When you see "log base 81 of 9," you're looking for the power you need to raise 81 to get 9. Since 81 to the power of 1/2 equals 9, the answer is 1/2. Just a little mathematical magic to brighten your day!
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It is 256.
3^(-2x + 2) = 81? log(3^(-2x + 2)) = log(81) (-2x+2)log(3) = log(81) -2x = log(81)/log(3) - 2 x = (-1/2)(log(81)/log(3)) + 1
9
9 x 9 = 81 because if you count 9 times it would make up or be 81
-9 squared = 81(-9)^2 = (-9) * (-9) = 81