(b) Solve the equation $2 \log _{x}\left(\frac{1}{32}\right)=-5$.

Step 1 ：Divide both sides by 2: \(\log _{x}\left(\frac{1}{32}\right)=-\frac{5}{2}\)

Step 2 ：Rewrite the equation in exponential form: \(x^{-\frac{5}{2}}=\frac{1}{32}\)

Step 3 ：Solve for x: \(x = \boxed{4}\)