Решите неравенство \(x\cdot{\log_{2}{(3\cdot2^{x-1}-1)}}\ge0\) . \((\log_{2}{\frac{2}{3}};0]\cup[{\log_{2}{\frac{4}{3}}};+\infty)\) \((-\infty; 0]\cup(1;+\infty)\) \([\log_{2}{\frac{2}{3}};+\infty)\) \((\log_{2}{\frac{1}{3}};+\infty)\)

Задание

Решите неравенство \(x\cdot{\log_{2}{(3\cdot2^{x-1}-1)}}\ge0\) .

\((\log_{2}{\frac{2}{3}};0]\cup[{\log_{2}{\frac{4}{3}}};+\infty)\)
\((-\infty; 0]\cup(1;+\infty)\)
\([\log_{2}{\frac{2}{3}};+\infty)\)
\((\log_{2}{\frac{1}{3}};+\infty)\)