Germany | Can you solve this? | Math Olympiad

[@evrankorkut8915]

Thank you very much

[@에스피-z2g]

6^(x-2)=12
6^(x-3)=2
x-3=log2/log6
x=3+log2/(log2+log3)

[@mehdizangiabadi-iw6tn]

x=3.386

[@AlexanderSemashkevich]

6^x/6²=12
6^x=432
x≈log432/log6=(3log6+log2)/log6=3+log2/(log2+log3)
x≈3+0.301/(0.301+0.477)≈2635/778≈3.38688
6^(3.38688-2)≈12.0006