Germany | Can you solve this? | Math Olympiad Problem

[@matheducare]

Very nice math❤

[@hangthuy458]

5.5^a+5^a=100
6.5^a=100
5^a=100/6=50/3
log5^a=log50/3=log50-log3
a=log10+log5-log3/log5
a=1/log5+log5/log5-log3/log5=1+1/log5-log3/log5