Вычислите: 1. [latex] frac{ log_{8}20 }{ log_{8}5 } + log_{5}0,05 [/latex] 2. [latex] log_{16}log _{6}36 [/latex] 3. [latex]( 8^{ frac{1}{3}log _{2}3 } ): log_{2}log _{3}81 [/latex]

[latex] frac{log_{8}20 }{log_{8}5 } + log_{5}0,05 = log_{5}20+log_{5}20^{-1} = log_{5}20-log_{5}20 = 0;[/latex][latex]log_{16}log _{6}36 = log_{2^4}log _{6}6^2 = frac{1}{4}log_{2}(2log _{6}6) = frac{1}{4}log_{2}2 = frac{1}{4};[/latex][latex]( 8^{frac{1}{3}+log _{2}3 } ): log_{2}log _{3}81=((2^3)^{frac{1}{3}}cdot(2^3)^{log _{2}3 } ): log_{2}4=2cdot3^3:2=27.[/latex]