Решебник по алгебре и начала математического анализа 11 класс Алимов Задание 208

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\[1)\ 4^{x - 1} = 1\]

\[4^{x - 1} = 4^{0}\]

\[x - 1 = 0\]

\[x = 1\]

\[Ответ:\ \ x = 1.\]

\[2)\ {0,3}^{3x - 2} = 1\]

\[{0,3}^{3x - 2} = {0,3}^{0}\]

\[3x - 2 = 0\]

\[3x = 2\]

\[x = \frac{2}{3}\]

\[Ответ:\ \ x = \frac{2}{3}.\]

\[3)\ 2^{2x} = 2^{4\sqrt{3}}\]

\[2x = 4\sqrt{3}\]

\[x = 2\sqrt{3}\]

\[Ответ:\ \ x = 2\sqrt{3}.\]

\[4)\ \left( \frac{1}{3} \right)^{3x} = \left( \frac{1}{3} \right)^{- 2}\]

\[3x = - 2\]

\[x = - \frac{2}{3}\]

\[Ответ:\ \ x = - \frac{2}{3}.\]