Question

решить пример log3 (6-1)≤2

Answer 1

$log_{3}(6x-1) \leq 2 \\ \\ 6x-1\ \textgreater \ 0 \\ 6x\ \textgreater \ 1 \\ x\ \textgreater \ \frac{1}{6}$

$6x-1 \leq 3^2 \\ 6x-1 \leq 9 \\ 6x \leq 9+1 \\ 6x \leq 10 \\ x \leq \frac{10}{6} \\ x \leq \frac{5}{3} \\ x \leq 1 \frac{2}{3}$

x∈(1/6;  1 ²/₃]