Zad obilcz A) 2log5+log4 B) 2log_3 6 - log_3 4 C) log_4 3-log_4 48 D) log_5 0,5+2log_5 20-3log_5 2

[latex]a) 2log5+log4=log5^2+log4=log25+log4=log(25cdot4)=\ =log100=log10^2=2log10=2\ \ b) 2log_26-log_34=log_36^2-log_34=log_336-log_34=log_2frac{36}{4}=\ =log_39=log_33^2=2\ \ c) log_43-log_448=log_4frac{3}{48}=log_4frac{1}{16}=log_44^{-2}=-2\ \ d) log_50,5+2log_520-3log_52=log_5frac12+log_520^2-log_52^3=\ =log_5(frac12cdot400)-log_58=log_5200-log_58=log_5frac{200}{8}=\ =log_525=log_55^2=2[/latex]