Find all positive integers \( a, b, c \) satisfying \[3^a + 5^b = 2^c.\]
The best solution was submitted by Huy Tùng Nguyễn (2016학번). Congratulations!
Here is his solution of problem 2017-09.
Alternative solutions were submitted by 조태혁 (수리과학과 2014학번, +3), 이본우 (2017학번, +3), 최대범 (수리과학과 2016학번, +2), 이재우 (함양고등학교 2학년, +2).
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