Oblicz log1/7 7 logpierwiastek7 7 log2 8 logpierwiastek2 8 log1/2 8 log4 8 log100 10 log0,1 10 log10 log49 7

[latex]log_{frac{1}{7}}7=log_{frac{1}{7}}(frac{1}{7})^{-1}=-1[/latex] [latex]log_{sqrt{7}}7=log_{sqrt{7}}(sqrt{7})^2=2[/latex] [latex]log_28=log_22^3=3[/latex] [latex]log_{sqrt{2}}8=log_{sqrt{2}}(sqrt{2})^6=6[/latex] [latex]log_{frac{1}{2}}8=log_{frac{1}{2}})^{-3}=-3[/latex] [latex]log_48=x\4^x=8\(2^2)^x=2^3\2^{2x}=2^3\2x=3\x=1,5[/latex] [latex]log_{100}10=log_{100}100^{frac{1}{2}}=frac{1}{2}[/latex] [latex]log_{0,1}10=log_{0,1}0,2^{-1}=-1[/latex] [latex]log10=1[/latex] [latex]log_{49}7=log_{49}49^{frac{1}{2}}=frac{1}{2}[/latex]