Решебник по алгебре и начала математического анализа 10 класс Алимов Задание 103

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\[1)\ 6^{2x} = 6^{\frac{1}{5}}\]

\[2x = \frac{1}{5}\]

\[x = \frac{1}{5} \bullet \frac{1}{2} = \frac{1}{10}\]

\[x = 0,1\]

\[Ответ:\ \ x = 0,1.\]

\[2)\ 3^{x} = 27\]

\[3^{x} = 3^{3}\ \]

\[x = 3\]

\[Ответ:\ \ x = 3.\]

\[3)\ 7^{3x} = 7^{10};\]

\[3x = 10\]

\[x = \frac{10}{3}\]

\[x = 3\frac{1}{3}\]

\[Ответ:\ \ x = 3\frac{1}{3}.\]

\[4)\ 2^{2x + 1} = 32\]

\[2^{2x + 1} = 2^{5}\]

\[2x + 1 = 5\]

\[2x = 4\]

\[x = \frac{4}{2}\]

\[x = 2\]

\[Ответ:\ \ x = 2.\]

\[5)\ 4^{2 + x} = 1;\]

\[4^{2 + x} = 4^{0};\]

\[2 + x = 0\]

\[x = - 2\]

\[Ответ:\ \ x = - 2.\ \]