Explanation:
32 = 2⁵
so, the basic term (1/2) on the left side of the original equation must be turned into a 1/ 1/2 term (= 2).
so, the exponent must be negative.
therefore, the first 2 answer options are out.
and so
(1/2)^(2x) = 2^(-2x) = 2^5
and therefore
-2x = 5
is the correct answer.