Предмет: Математика,
автор: akashichi992paptri
Распишите пожалуйста решение данных примеров
Приложения:
![](https://files.topotvet.com/i/e88/e8862aee267635d66aaea74f9de8d779.jpg)
Ответы
Автор ответа:
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![log_{6}( \frac{36}{ {k}^{3} } ) = log_{6}(36) - log_{6}( {k}^{3} ) = 2 - 3 log_{6}(k) = 2 - 3 \times ( - 1.5) = 2 + 4.5 = 6.5 log_{6}( \frac{36}{ {k}^{3} } ) = log_{6}(36) - log_{6}( {k}^{3} ) = 2 - 3 log_{6}(k) = 2 - 3 \times ( - 1.5) = 2 + 4.5 = 6.5](https://tex.z-dn.net/?f=+log_%7B6%7D%28+%5Cfrac%7B36%7D%7B+%7Bk%7D%5E%7B3%7D+%7D+%29++%3D++log_%7B6%7D%2836%29++-++log_%7B6%7D%28+%7Bk%7D%5E%7B3%7D+%29++%3D+2+-+3+log_%7B6%7D%28k%29++%3D+2+-+3+%5Ctimes+%28+-+1.5%29+%3D+2++%2B+4.5+%3D+6.5)
12)
![log_{3}(27b) = log_{3}(27) + log_{3}(b) = 3 + log_{3}(b) = 3 + 35 = 38 log_{3}(27b) = log_{3}(27) + log_{3}(b) = 3 + log_{3}(b) = 3 + 35 = 38](https://tex.z-dn.net/?f=+log_%7B3%7D%2827b%29++%3D++log_%7B3%7D%2827%29++%2B++log_%7B3%7D%28b%29++%3D+3+%2B++log_%7B3%7D%28b%29++%3D++3+%2B+35+%3D+38)
13)
![log_{ \sqrt{a} }(25) = 2 log_{a}(25) = log_{a}( {25}^{2} ) = log_{a}(625) \\ log_{a}(625) = 8 \\ log_{a}( {5}^{4} ) = 8 \\ 4 log_{a}(5) = 8 \\ log_{a}(5) = 2 log_{ \sqrt{a} }(25) = 2 log_{a}(25) = log_{a}( {25}^{2} ) = log_{a}(625) \\ log_{a}(625) = 8 \\ log_{a}( {5}^{4} ) = 8 \\ 4 log_{a}(5) = 8 \\ log_{a}(5) = 2](https://tex.z-dn.net/?f=+log_%7B+%5Csqrt%7Ba%7D+%7D%2825%29++%3D++2+log_%7Ba%7D%2825%29++%3D++log_%7Ba%7D%28+%7B25%7D%5E%7B2%7D+%29++%3D++log_%7Ba%7D%28625%29+%5C%5C++log_%7Ba%7D%28625%29++%3D+8+%5C%5C++log_%7Ba%7D%28+%7B5%7D%5E%7B4%7D+%29++%3D+8+%5C%5C+4+log_%7Ba%7D%285%29++%3D+8+%5C%5C++log_%7Ba%7D%285%29++%3D+2)
![log_{a}(125) = log_{a}(625) - log_{a}(5) = 8 - 2 = 6 log_{a}(125) = log_{a}(625) - log_{a}(5) = 8 - 2 = 6](https://tex.z-dn.net/?f=+log_%7Ba%7D%28125%29++%3D+++log_%7Ba%7D%28625%29+-++log_%7Ba%7D%285%29+++%3D+8+-++2+%3D+6)
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