Question

Решите........................

Answer 1

Ответ:

$log_\frac{2}{7}(x-1)+log_\frac{2}{7}(4-x)\leq log_\frac{2}{7}(2)\\log_\frac{2}{7}((x-1)(4-x))\leq log_\frac{2}{7}(2)\\log_\frac{2}{7}(4x-x^{2}-4+x)\leq log_\frac{2}{7}(2)\\4x-x^{2}-4+x\geq 2\\5x-x^{2}-4\geq 2\\5x-x^{2}-4-2\geq 0\\(x-3)(x-2)\leq 0\\\left \{ {{x\leq 3} \atop {x\geq 2}} \right. \\\left \{ {{x\geq 3} \atop {x\leq 2}} \right. \\x=[2,3]$

Объяснение:

x∈[2,3]