Answer:
x = -6.
Step-by-step explanation:
(- 1/3) ^ (x - 2) ÷ (1/3) ^ - 3 = (1/3) ^ (2x + 7)
(- 1/3) ^ (x - 2) = (1/3) ^ (2x + 7) * (1/3) ^ - 3
(- 1/3) ^ (x - 2) = (1/3) ^ (2x + 7 - 3)
(- 1/3) ^ (x - 2) = (1/3) ^ (2x + 4)
(1/3)^(x - 2) = (1/3)^(2x + 4)
x - 2 = 2x + 4
x = -6.