[latex] log_{3} sqrt[]{3} - log_{1/3} sqrt[3]{3} [/latex]Oblicz ten logarytm:

[latex]log_{3}sqrt{3}-log_{frac{1}{3}} sqrt[3]{3}=log_{3}3^{frac{1}{2}}-log_{frac{1}{3}}3^{frac{1}{3}}=frac{1}{2} log_{3}3-log_{frac{1}{3}} [(frac{1}{3})^{-1}]^{frac{1}{3}}=\ \=frac{1}{2}-log_{frac{1}{3}}(frac{1}{3})^{-frac{1}{3}}=frac{1}{2}+frac{1}{3}log_{frac{1}{3}}frac{1}{3}=frac{1}{2}+frac{1}{3}=frac{5}{6}[/latex]

oblicz ten logarytm: [latex] log_{3} sqrt[]{3} - log_{1/3} sqrt[3]{3} [/latex]

oblicz ten logarytm: [latex] log_{3} sqrt[]{3} - log_{1/3} sqrt[3]{3} [/latex]...