= 3^log9(36) * 3^-log2(3) * 3^2= 3^log9(36)*3^-log2(3) * 9 =
теперь все логарифмы надо выразить логарифмами с основанием = 3
1) log9(36) = log9(6^2) = 2log9(6) = 2*log3(6)/log3(9) = log3(6)
2) 2log2(3) = 2log3(3)/log3(2) =2/log3(2)
= 3^(log3(6) * 3^- 2/log3(2) )*9= 6* / 3 ^ (2/ log3(2)) *9=54 /3^(-2log3(2))=
= 54/(log3(2))^-2= 54/2^-2= 54/1/4= 54*4= 216