Germany | Can you solve this? | Math Olympiad Problem

[@stasnamin8180]

Beautiful. I am recollecting my math from you. God bless you

[@hulyaaycan4660]

Tebrik ederim.

[@hangthuy458]

9^X=36
log9^X=log36×3
X=log6^2+log3/log3^2
X=2log6/2log3+log3/2log3
X=log6/log3+1/2

[@AlexanderSemashkevich]

x=log108/log9=(3log3+2log2)/2log3=3/2+log2/log3≈1.5+0.301/0.477≈2.131.
Deviation is about 0.0001.
9^2.131≈108.017.