Задание

Решите неравенство \(\log_{5x}{(25x)}-\log_{5x^2}{(25x^2)}\geqslant\dfrac{1}{\log_{5}{(3125x)}}\).

\(\left(0;\dfrac{1}{3125}\right)\cup\left(\dfrac{1}{5};\dfrac{\sqrt{5}}{5}\right)\cup\{5\}\)

\(\left(0;\dfrac{1}{3125}\right]\cup\left(\dfrac{1}{5};\dfrac{\sqrt{5}}{5}\right)\cup\{5\}\)

\(\left(0;\dfrac{1}{3125}\right)\cup\left(\dfrac{1}{5};\dfrac{\sqrt{5}}{5}\right]\)

\(\left(0;\dfrac{1}{3125}\right]\cup\left[\dfrac{1}{5};\dfrac{\sqrt{5}}{5}\right]\cup\{5\}\)