Nice Olympiad Exponential Equation | Find "a"

[@herbertklumpp2969]

5^2a =15 2a * log5 = log 5 + log 3 conclude a= ( 1 + log3/log 5)/2

[@RealQinnMalloryu4]

{5a*5a}5a/{5a+5a ➖ }+{5a+5a ➖ }+{5a+5a ➖}={25a^2*5a}/{10a^2+10a^2+10a^2}=75a^3/30a^6=2.15a^2 2.3^5a^2 1.3^1a^2 3a^2 (a ➖ 3a+2).