1.Oblicz logarytmy : a) log pierwiastek 2    16= b) loga   81=4 c) log1/3    x=-3   2.Oblicz pierwiastek a b c  , gdy : a) log 4 1   6= b)log2   64= c)log0,5    1/8=    

[latex]log_{a}b=c ---> a^c=b[/latex]   1. a) [latex]log_{sqrt{2}}16=x\(sqrt{2})^x=16\2^{frac{1}{2}x}=2^4\frac{1}{2}x=4\x=8[/latex]   b) [latex]log_{a}81=4\a^4=81\a^4=3^4\a=3[/latex]   c) [latex]log_{frac{1}{3}}x=-3\(frac{1}{3})^{-3}=x\x=27[/latex]   2. a) [latex]log_{4}16=a\4^a=16\4^a=4^2\a=2[/latex]   b) [latex]log_{2}64=b\2^b=64\2^b=2^6\b=6[/latex]   c) [latex]log_{0,5}frac{1}{8}=c\(frac{1}{2})^c=frac{1}{8}\(frac{1}{2})^c=(frac{1}{2})^3\c=3[/latex]