Question

Розвяжіть нерівність log

Answer 1

$\log_{\tfrac{1}{5}}(4x-1)\ \textless \ -2\\ D:4x-1\ \textgreater \ 0\\ D:4x\ \textgreater \ 1\\ D:x\ \textgreater \ \dfrac{1}{4}\\\\ \log_{\tfrac{1}{5}}(4x-1)\ \textless \ \log_{\tfrac{1}{5}}25\\ 4x-1\ \textgreater \ 25\\ 4x\ \textgreater \ 26\\ x\ \textgreater \ \dfrac{26}{4}\\ \boxed{x\ \textgreater \ \dfrac{13}{2}}$