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

[latex]log_3 sqrt{3}=x[/latex] [latex]3^x=sqrt{3}[/latex] [latex]3^x=3^{frac{1}{2}}[/latex] [latex]x=frac{1}{2}[/latex] [latex]log_{frac{1}{3}} sqrt[3]{3}=c[/latex] [latex](frac{1}{3})^c=sqrt[3]{3}[/latex] [latex]3^{-c}=3^{frac{1}{3}}[/latex] [latex]c=-frac{1}{3}[/latex] czyli [latex]log_3 sqrt{3}-log_{frac{1}{3}} sqrt[3]{3}=frac{1}{2}-(-frac{1}{3})=[/latex] [latex]=frac{3}{6}+frac{2}{6}=frac{5}{6}[/latex]

[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]Oblicz ten logarytm:...