- \frac{1}{2} " alt=" log_{4}(3 - 2x) < 1 \\ log_{4}(3 - 2x) < log_{4}(4) \\ 3 - 2x < 4 \\ - 2 x< 1 \\ x > - \frac{1}{2} " align="absmiddle" class="latex-formula">
ОДЗ:
0 \\ - 2x > - 3 \\ x < \frac{3}{2} " alt="3 - 2x > 0 \\ - 2x > - 3 \\ x < \frac{3}{2} " align="absmiddle" class="latex-formula">
x € (-1/2; 3/2)
Ответ: (-1/2; 3/2).