$8.29 \frac{1}{2}+\log _{9} x-\log _{3}(5 x)>\log _{\frac{1}{3}}(x+3)$. 

Translate the above text into English, keeping the original text's line breaks and format, and output the translation result directly.

$8.29 \frac{1}{2}+\log _{9} x-\log _{3}(5 x)>\log _{\frac{1}{3}}(x+3)$.