Question

Найдите значение выражения
Решите неравенство

Answer 1

$7)log_{23}\frac{2}{3}+log_{23}6-log_{23}4=log_{23}\frac{\frac{2}{3}*6}{4}=log_{23}1=0\\\\8)log_{2}(2x-4)<log_{2}(x+3)\\\\1)\left \{ {{2x-4>0} \atop {x+3>0}} \right.\\\\\left \{ {{x>2} \atop {x>-3}} \right. \Rightarrow x\in(2;+\infty)\\\\2)2 >1 \Rightarrow 2x-4<x+3\\\\2x-x<3+4\\\\x<7\\\\Otvet:\boxed{x\in(2;7)}$