Olympiad Mathematics challenge | Fully solved

This is beautifully solved #olympiad #maths #algebra #equation #exponential #mathstricks #mathematics #education #exponentialequation

[hangthuy]

5^X(1+1)=150
5^X=150/2=75=25×3
log5^X=log5^2+log3
X=2log5/log5+log3/log5
X=2+log3/log5

[RealQinnMalloryu]

{30+30}=60 30^30 15^15^15^15 2^3^2^3^2^3^2^3^2^3 1^1^1^1^1^1^2^1^1^3 23(x ➖ 3x+2).