Question

log 1/3 (2x-5) больше или равно -1

Answer 1

$log_{frac{1}{3}} (2x-5) geq -1$
$0<frac{1}{3}<1; 2x-5 leq (frac{1}{3})^{-1}; 2x-5>0$
$2x-5<3; 2x-5>0$
$0<2x-5<3$
$0+5<2x-5+5<3+5$
$5<2x<8$
$5:2<2x:2<8:2$
$2.5<x<4$
x є $(2.5;4)$