oblicz logarytmy log 0,1 =  log5 0,2 =  log5 [latex] sqrt{5} [/latex] =  log[latex] sqrt{2} [/latex] 32 =  log[latex] sqrt{2} [/latex] 16 =  2log5 + log4 = 2log3 6 - log3 4 = log4 3 - log 4 =  log50 + log2 = 

[latex]log0,1=log10^{-1}=-1log10 = -1cdot1=-1\ log_50,2=log_5frac15=log_55^{-1}=-1log_55=-1cdot1=-1\ log_5sqrt5=log_55^{frac12}=frac12log_55=frac12\ log_{sqrt2}32=log_{sqrt2}2^5=log_{sqrt2}({sqrt2})^{10}=10\ log_{sqrt2}16=log_{sqrt2}(sqrt2)^{8}=8\ 2log5+log4=log5^2+log4=log25+log4=log100=log10^2=2\ 2log_36-log_34=log_36^2-log_34=log_336-logg_34=log_3frac{36}{4}=log_39=\ =log_33^2=2\ \ [/latex] [latex]log_43-log_448=log_4frac{3}{48}=log_4frac{1}{16}=log_44^{-2}=-2\[/latex] [latex]log50+log2=log(50cdot2)=log100=log10^2=2log10=2cdot1=2[/latex]