There are several natural numbers n satisfying (n ^ 2-4n + 4) ^ (n ^ 2 + 16) = (n ^ 2-4n + 4) ^ (9n-4)

Five in all
① The same exponent has two n ^ 2 + 16 = 9n-4, n = 4 or 5
② A base number equal to 1 has two identical real roots, n ^ 2-4n + 4 = 1, n = 1 or 3
③ If the base is equal to 0, there is an n ^ 2-4n + 4 = 0, n = 2

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