Question

решите неравенство
log1/3(x+5)>= -1

Answer 1

$log_{frac{1}{3}}(x+5) geq -1,; ; OOF:; ; x+5>0,; ; x>-5\\log_{frac{1}{3}}(x+5) geq log_{frac{1}{3}}(frac{1}{3})^{-1}\\x+5 leq (frac{1}{3})^{-1}\\x+5 leq 3\\x leq -2\\Otvet:; xin (-5,-2; ]$