Question

решите неравенство log1/3 (x-5)>1

Answer 1

$log_{ frac{1}{3}}(x-5)>1| x-5>0,x>5\\log_{ frac{1}{3}}(x-5)> log_{ frac{1}{3} }frac{1}{3}\\x-5< frac{1}{3}\\x<5 frac{1}{3}|x>5\\xin (5;5 frac{1}{3})$