∈( \frac{1}{2}, \frac{3}{2} " alt=" log_{4}(2x-1) \geq \frac{1}{2} \\ \\ log_{4}(2x-1)\ \textless \ \frac{1}{2} \\ \\ 2x-1\ \textless \ 4^{ \frac{1}{2} } \\ \\ 2x-1\ \textless \ (2^{2})^{ \frac{1}{2} } \\ 2x-1\ \textless \ 2 \\ \\ x\ \textless \ \frac{3}{2}, x\ \textgreater \ \frac{1}{2} \\ \\ x
∈( \frac{1}{2}, \frac{3}{2} " align="absmiddle" class="latex-formula">