Question

Допоможіть будь ласка

Answer 1

ОДЗ :

$\displaystyle\bf\\\left \{ {{2x-1 > 0} \atop {x+3 > 0}} \right. \ \ \Rightarrow \ \ \left \{ {{x > 0,5} \atop {x > -3}} \right. \ \ \Rightarrow \ \ x > 0,5\\\\\\\log_{4} (2x-1)\leq \log_{4} (x+3)\\\\\\4 > 1 \ \ \Rightarrow \ \ 2x-1\leq x+3\\\\2x-x\leq 3+1\\\\x\leq 4\\\\Otvet \ : \ x\in\Big(0,5 \ ; \ 4 \Big]$