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.
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Answer

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

Steps

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