Zad 1. Oblicz. [latex]log _{10} 100 - log _{2} 8=[/latex] [latex]log _{3} frac{2}{3} + log _{3} frac{1}{6} [/latex]

Zad.1 =2-3=-1 bo: [latex]log_{10}100=log_{10}10^2=2[/latex] [latex]log_2 2^3= 3[/latex] Zad. 2 [latex]=log_3(frac{2}{3}*frac{1}{6} )=log_3frac{1}{9}=log_33^{-2}=-2[/latex]

[latex]log_ac=b Leftrightarrow a^b=c\ log_{10}100-log_28=2-3=-1\ \ \ log_a(x*y)=log_ax+log_ay\ log_3 frac{2}{3}+log_3 frac{1}{6}=log_3(frac{2}{3}*frac{1}{6})=log_3 frac{1}{9}= -2 [/latex]