Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 664

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\[1)\ y = 2^{x}\text{\ \ }и\ \ y = 8;\]

\[2^{x} = 8;\]

\[2^{x} = 2^{3};\]

\[x = 3;\]

\[Ответ:\ \ x = 3.\]

\[2)\ y = 3^{x}\text{\ \ }и\ \ y = \frac{1}{3};\]

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

\[3^{x} = 3^{- 1};\]

\[x = - 1;\]

\[Ответ:\ \ x = - 1.\]

\[3)\ y = \left( \frac{1}{4} \right)^{x}\ и\ \ y = \frac{1}{16};\]

\[\left( \frac{1}{4} \right)^{x} = \frac{1}{16};\]

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

\[x = 2;\]

\[Ответ:\ \ x = 2.\]

\[4)\ y = \left( \frac{1}{3} \right)^{x}\ и\ \ y = 9;\]

\[\left( \frac{1}{3} \right)^{x} = 9;\]

\[3^{- x} = 3^{2};\]

\[- x = 2;\]

\[x = - 2;\]

\[Ответ:\ \ x = - 2.\]