Problem

$\log _{3} \frac{1}{32}=-5 \log _{3}$

Answer

Expert–verified
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Answer

\(\boxed{-3.154648767857287}\)

Steps

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 ：\(\boxed{-3.154648767857287}\)

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