Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 831

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\[1)\ y = \log_{4}(x - 1)\]

\[x - 1 > 0\]

\[x > 1\]

\[D(y) = (1; + \infty).\]

\[2)\ y = \log_{0,3}(1 + x)\]

\[1 + x > 0\]

\[x > - 1\]

\[D(y) = ( - 1; + \infty).\]

\[3)\ y = \log_{3}\left( x^{2} + 2x \right)\]

\[x^{2} + 2x > 0\]

\[x(x + 2) > 0\]

\[x > 0;x < 2.\]

\[D(y) = (0;2).\]

\[4)\ y = \log_{\sqrt{2}}\left( 4 - x^{2} \right)\]

\[4 - x^{2} > 0\]

\[(x - 2)(x + 2) < 0\]

\[- 2 < x < 2\]

\[D(y) = ( - 2;2).\]