Oblicz: 1) [latex]log _{6} 4 + log_{6} 9 = [/latex] 2) [latex]( frac{64}{27} ) ^{- frac{2}{3} } [/latex] 3) [latex] frac{log _{6} 4+2log _{6}3 }{log12-log frac{6}{5} } [/latex]

[latex]1) log_64+log_69 = log_6(4*9) = log_636 = log_66^2 = 2\\2) (frac{64}{27})^{-frac23} = (sqrt[3]{frac{64}{27}})^{-2} = (sqrt[3]{frac{4^3}{3^3}})^{-2} = (frac{4}{3})^{-2} = (frac34)^2 = frac9{16}\\3) frac{log_64+2log_63}{log12-logfrac65} =frac{log_64+log_63^2}{log(12:frac65)}=frac{log_6(4*9)}{log(12*frac56)} = frac{log_636}{log10} = frac{log_66^2}{1} = 2[/latex]

Oblicz ( Nie same odpowiedzi :-) )[latex] a) frac{log_{6}4+2log_{6}3 }{log12-log frac{6}{5} } b) 9 ^{1-log_{3}5 } [/latex]

Oblicz ( Nie same odpowiedzi :-) )[latex] a) frac{log_{6}4+2log_{6}3 }{log12-log frac{6}{5} } b) 9 ^{1-log_{3}5 } [/latex]...

Oblicz: [latex] frac{log_{6}4+2log_{6}3 }{log12-log frac{6}{5} } 9 ^{1-log_{3}5} [/latex]

Oblicz: [latex] frac{log_{6}4+2log_{6}3 }{log12-log frac{6}{5} } 9 ^{1-log_{3}5} [/latex]...