Question

Решите неравенство log1/3 (x-5)>1

Answer 1

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