Interesting Question of Mathematics
Explanation
Case I) If a^n = a^m
Base is equal then Powers is also equal.
thus, n = m
Case II) If a^n = a^m
a^(n-m) = 1
taking log both sides...
(n-m)loga = 0 (log1 = 0)
either n-m = 0 or loga = 0
if loga = 0 then a = 0
then it's not necessary n-m = 0
then we can't say definitely n = m
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