Задание

Решите неравенство \(\log_{4x}{(2x)}+\log_{2x^2}{(4x^2)}\leqslant\dfrac{5}{2}\).

\(\left(0;\dfrac{\sqrt{2}}{16}\right]\cup\left(\dfrac{1}{4};\dfrac{\sqrt{2}}{2}\right)\cup(1;2]\)

\(\left(0;\dfrac{\sqrt{2}}{16}\right]\cup\left(\dfrac{1}{4};\dfrac{\sqrt{2}}{2}\right)\cup[1;+\infty)\)

\(\left(0;\dfrac{\sqrt{2}}{16}\right)\cup\left[\dfrac{1}{4};\dfrac{\sqrt{2}}{2}\right)\cup[1;+\infty)\)

\(\left(0;\dfrac{\sqrt{2}}{16}\right]\cup\left(\dfrac{1}{4};\dfrac{\sqrt{2}}{2}\right]\cup(1;+\infty)\)