How do you solve 3 to the power of negative 2x plus 2 equals 81?

Answer 1

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