1. Oblicz a) log₂27+log₂2/9+log₂2/3 b)log2+log15-log3 c)log₆18+3log₆2-log₆4

[latex]a)log_227+log_2 frac{2}{9}+log_2 frac{2}{3}=log_2( 27cdotfrac{2}{9}cdot frac{2}{3} )= log_24=log_22^2=2[/latex] [latex]b)log2+log15-log3=log(2cdot15:3)=log10=1[/latex] [latex]c)log_618+3log_62-log_64=log_6(18cdot8:4)=log_636=log_66^2=2[/latex]

a) [latex]log_227+log_2 frac{2}{9}+log_2 frac{2}{3}=log_2(27* frac{2}{9}* frac{2}{3})=log_24=2 [/latex] b) [latex]log2+log15-log3=log(2*15)-log3=log30-log3=log frac{30}{3}=[/latex][latex]log10=1[/latex] c) [latex]log_618+3log_62-log_64=log_618+log_62^3-log_64=log_618+log_68-[/latex][latex]log_64=log_6(18*8)-log_64=log_6144-log_64=log_6 frac{144}{4}=log_636=2 [/latex] Proszę:-)