rozwiąż równanie [latex]| 5^{-x} -1| extless 4[/latex]

[latex]| 5^{-x} -1| extless 4\ \ 5^{-x} -1 extless 4 wedge 5^{-x} -1 extgreater -4\ 5^{-x} extless 5 wedge 5^{-x} extgreater -3\ x extgreater -1 wedge x extless log_53 \ \ [/latex] [latex]\ 5^{-x} extless 5^1 5^{-x} extgreater -3 /log_5\ -x extless 1 /*(-1) log_55^{-x} extgreater -log_53\ x extgreater -1 -x extgreater -log_53 /*(-1)\ . x extless log_53\ \\ \ \ oxed{xin(-1;log_53)}[/latex]