Question

log по основанию1/3(x-5)>1

Answer 1

$\log_{frac{1}{3}}(x-5)>1\ x-5>0\ x>5\\ log_{frac{1}{3}}(x-5)>log_{frac{1}{3}}left(frac{1}{3}right)^1\ x-5<left(frac{1}{3}right)^1\ x-5<frac{1}{3}\ x<frac{1}{3}+5\ x<frac{1}{3}+frac{15}{3}\ x<frac{16}{3}\\ x>5 wedge x<frac{16}{3}\ xin(5,frac{16}{3})$