Question

решите неравенство 
(log1/3 (x-5) ) >1

Answer 1

$log_frac{1}{3}(x-5) > 1\----------------\x-5 > 0to x > 5\--------------------\\log_frac{1}{3}(x-5) > log_frac{1}{3}frac{1}{3}iff x-5 < frac{1}{3}\\x < frac{1}{3}+5\\x < 5frac{1}{3}\--------------\\O:xin(5; 5frac{1}{3})$