Jeśli [latex]m=0,5log_536, to log_58,64[/latex] ma wartość a) 2m-3 b) 3m-2 c) 3/2m d) [latex]frac{m^3}{25}[/latex]

[latex]m=0,5 log_{5}36=log_{5} sqrt{36} =log_{5}6[/latex] [latex]log_{5}8,64=log_{5}(6*1,44)=log_{5}6+log_{5}1,44=log_{5}6+log_{5} 1,2^{2}= log_{5}6+2log frac{6}{5} =log_{5}6+2log_{5}6-2log_{5}5=3log_{5}6-2=3m-2 [/latex]