Step 1 :Given the equation: \(\log _{3} \frac{1}{32}=-5 \log _{3}\)
Step 2 :Solve for \(\log _{3}\) in the equation: \(x = \log _{3} \frac{1}{32} = -5 \log _{3}\)
Step 3 :\(x = 2.0\)
Step 4 :Calculate the final answer: \(-5 \times x\)
Step 5 :\(\boxed{-3.154648767857287}\)