Question

Распишите пожалуйста решение данных примеров

Answer 1

11)
$log_{6}( \frac{36}{ {k}^{3} } ) = log_{6}(36) - log_{6}( {k}^{3} ) = 2 - 3 log_{6}(k) = 2 - 3 \times ( - 1.5) = 2 + 4.5 = 6.5$
12)
$log_{3}(27b) = log_{3}(27) + log_{3}(b) = 3 + log_{3}(b) = 3 + 35 = 38$
13)
$log_{ \sqrt{a} }(25) = 2 log_{a}(25) = log_{a}( {25}^{2} ) = log_{a}(625) \\ log_{a}(625) = 8 \\ log_{a}( {5}^{4} ) = 8 \\ 4 log_{a}(5) = 8 \\ log_{a}(5) = 2$
$log_{a}(125) = log_{a}(625) - log_{a}(5) = 8 - 2 = 6$