3 log 9 x 27 log 81 x 27 log 3 =

[tex] ^3 \log 9 \times ^{27} \log 81 \times ^{27} \log 3 \\ = ^3 \log 3^2 \times ^{3^3} \log 3^4 \times ^{3^3} \log 3^1\\ = ( 2 \times ^3 \log 3 )(\frac{4}{3} \times ^3 \log 3)(\frac{1}{3} \times ^3 \log 3) \\ = \dfrac{8}{9} [/tex]