Z definicji logarytmu
[tex]log_{a}b = c \ \ to \ \ a^{c} = b[/tex]
c)
[tex]log_{\frac{1}{\sqrt{3}}}\sqrt[3]{3} = x\\\\(\frac{1}{\sqrt{3}})^{x} = \sqrt[3]{3}\\\\(\sqrt{3})^{-x} = \sqrt[3]{3}\\\\(3^{\frac{1}{2}})^{-x} = 3^{\frac{1}{3}}[/tex]
[tex]3^{-\frac{1}{2}x} = 3^{\frac{1}{3}}\\\\-\frac{1}{2}x = \frac{1}{3} \ \ /\cdot(-2)\\\\\underline{x = -\frac{2}{3}}\\\\log_{\frac{1}{\sqrt{3}}}\sqrt[3]{3}=-\frac{2}{3}[/tex]
