1\\----------------\\x-5 > 0\to 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 < 5\frac{1}{3}\\--------------\\\\O:x\in(5;\ 5\frac{1}{3})" alt="log_\frac{1}{3}(x-5) > 1\\----------------\\x-5 > 0\to 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 < 5\frac{1}{3}\\--------------\\\\O:x\in(5;\ 5\frac{1}{3})" align="absmiddle" class="latex-formula">