i dont know where he got that question ,but it almost certainly wasnt the german math oplympiad
So HAAARD!!!! 3^x * 3^x = 24, take sqrt from both sides (3^x > 0 and 24 > 0) 3^x = sqrt(24), take log 3 from both sides log 3 (3^x) = log 3 (sqrt(24)) x * log 3 (3) = log 3 (sqrt(24)) x = log 3 (sqrt(24))
1+3log3^2/(2) and plug into 3^x times 3^x
x=½+3log2/2log3 x≈230/159≈1.4464
Other methode
I like these but they take WAY too long. Often you rewrite the equation from above for no reason. These videos don't take 8 minutes. I suspect you're trying to highly monitize these videos. Not to mention these really aren't Olympiad tier.
log3(root24)
x = log3(24)/2
Monkey level
@beratgokgoz9135