[tex]a) \ log10 000 = log10^{4} = 4\\\\b) \ log0,01 = log\frac{1}{100}=log(\frac{1}{10})^{2} = log10^{-2} = -2\\\\c) \ log\sqrt[4]{100} = log(10^{2})^{\frac{1}{4}} = log10^{\frac{1}{2}} = \frac{1}{2}[/tex]
Korzystamy z własności potęg:
[tex](\frac{a}{b})^{n} = (\frac{b}{a})^{-n}\\\\(a^{n})^{m} = a^{n\cdot m[/tex]
