Logarytmy! Proszę o pomoc! Liczba jest równa: [latex] log_{2} 0,125 [/latex] [latex] log_{7} sqrt{7} [/latex] [latex] log_{3} sqrt[3]{3} [/latex] [latex] log_{16} 2 [/latex] [latex] log_{2} ( log_{2} 16) [/latex] [latex] log 0,1[/latex]

[latex]log_{2}0,125 = log_{2}frac{125}{1000} = log_{2}frac{1}{8} = log_{2}2^{-3} = -3[/latex] [latex]log_{7}sqrt{7} = log_{7}7^{frac{1}{2}} = frac{1}{2}[/latex] [latex]log_{3}sqrt[3]{3} = log_{3}3^{frac{1}{3} }= frac{1}{3}[/latex] [latex]log_{16}2 = log_{16}16^{frac{1}{4}} = frac{1}{4}log_{16}16 = frac{1}{4}*1 = frac{1}{4}[/latex] [latex]log_{2}(log_{2}16) = log_{2}(log_{2}2^{4}}) = log_{2}4 = log_{2}2^{2}} = 2[/latex] [latex]log0,1 = log10^{-1} =-1[/latex]

Zad.niżej w załączniku.