treść zadania: oblicz. przykłady w załączniku

[latex]log_{ frac{1}{9} }(log_{2}8)=log_{frac{1}{9}}(log_{2}2^3)=log_{frac{1}{9}}3=log_{frac{1}{9}}frac{1}{9}^{(-1/2)}=-1/2[/latex] [latex]log_{ sqrt{2}}(log_{frac{1}{2}}frac{1}{16})= log_{ sqrt{2}}(log_{frac{1}{2}}(frac{1}{2})^4)=log_{ sqrt{2}}4=log_{sqrt{2}}sqrt{2}^3=3[/latex] [latex]log_9(log_8(log_3 9 ))=log_9(log_8(log_3 3^2))=log_9(log_8 2)=log_9(log_88^{frac{1}{3}})=[/latex] [latex]log_9frac{1}{3}=log_9 9^{-frac{1}{2}}=-frac{1}{2}[/latex] [latex]log_8(log_{frac{1}{4}}(log_4 2))=log_8(log_{frac{1}{4}}(log_4 4^frac{1}{2}))=log_8(log_{frac{1}{4}}frac{1}{2})=log_8(log_{frac{1}{4}}(frac{1}{4})^frac{1}{2})[/latex] [latex]=log_8 frac{1}{2}=log_8 8^{-frac{1}{3}}=-frac{1}{3}[/latex]

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