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Verified answer
√2^(x-2) = 1/8^(x-2)2^(x-2)/2 = 2^-3(x-2)
(x - 2)/2 = -3(x - 2)
x - 2 = 2(-3)(x - 2)
x - 2 = -6x + 12
x + 6x = 12 + 2
7x = 14
x = 2