Задание 4.11

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1) $6^{x} = 2;$
$x = \log_{6} 2$
2) $5^{x} = 10$
$x = \log_{5} 10$
3) $0, 4^{x} = 9$
$x = \log_{0, 4} 9$
4) $2^{x - 3} = 5$
$x - 3 = \log_{2} 5$
$x = \log_{2} 5 + 3$
5) ${(\frac{1}{3})}^{1 - x} = 2$
$1 - x = \log_{\frac{1}{3}} 2$
$- x = \log_{\frac{1}{3}} 2 - 1$
$x = 1 - \log_{\frac{1}{3}} 2$
6) $0, 3^{3 x + 2} = 7$
$3 x + 2 = \log_{0, 3} 7$
$3 x = \log_{0, 3} 7 - 2$
$x = \frac{1}{3} (\log_{0, 3} 7 - 2) .$

gimli

2022-01-02 17:18

Задание 4.11

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