Решите неравенство \(\frac{1-\log_4x}{1+2\log_4x}\le\frac{1}{2}.\) \((0; \frac{1}{2})\cup[\sqrt{2}; +\infty)\) \([\sqrt{2}; +\infty)\) \((\frac{1}{2}; \sqrt{2}]\) \((0; \frac{1}{4}]\) \([\frac{1}{4}; +\infty)\)
Задание

Решите неравенство \(\frac{1-\log_4x}{1+2\log_4x}\le\frac{1}{2}.\)

  • \((0; \frac{1}{2})\cup[\sqrt{2}; +\infty)\)
  • \([\sqrt{2}; +\infty)\)
  • \((\frac{1}{2}; \sqrt{2}]\)
  • \((0; \frac{1}{4}]\)
  • \([\frac{1}{4}; +\infty)\)