Japanese | Can you solve this ? | Math Olympiad

[@anniesworldeverythingsurro8214]

x = 0.3691

[@tunneloflight]

x = 1 - 1/lg2(3)

[@dietrichschoen7340]

La solución está muy complicada y absurda ! 9^x*9 - 9^x *1/9=20 9^x(9-1/9)=20 9^x=20/(9-1/9) x*ln9=ln[20/(9-1/9)] x= {ln[20/(9-1/9)]}/ln9 X=0,369 Prueba: 9^1,369-9^(-1+0,369)=19,99

[@rabotaakk-nw9nm]

(9^x)9-(9^x)/9=20 81•9^x-9^x=180 80•9^x=180 9^x=9/4 ln(9^x)=ln(9/4) xln9=ln9-ln4 x=(ln9-ln4)/ln9= =1-ln4/ln9= =1-ln2²/ln3²= =1-(2ln2)/(2ln3)= =1-ln2/ln3≈0.36907 Prueba: 9^(1-ln2/ln3+1)-9^(1-ln2/ln3-1)=20 …………………………… 20=20 😁

[@DominickAngelo]

You can’t add to one side without adding to the other side of the equal sign. This is poorly explained and poorly solved. Thank you