Condense \[ \log _{3}\left(a^{6}\right)+\frac{1}{5} \log _{3}(a-4)-8 \log _{3}(a+3)= \] The answer format in lowercase characters is: $\log$ base (number) Spaces in the answer are optional. Next Question

Step 1 ：\(6 \log _{3}(a)+\frac{1}{5} \log _{3}(a-4)-8 \log _{3}(a+3)\)

Step 2 ：\(6 \log _{3}(a)+\frac{1}{5} \log _{3}(a-4)-8 \log _{3}((a+3)^8)\)

Step 3 ：\(\log _{3}(a^6*(a-4)^{1/5})- \log _{3}((a+3)^8)\)

Step 4 ：\(\boxed{\log _{3}\left(\frac{a^6*(a-4)^{1/5}}{(a+3)^8}\right)}\)