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

Question

Accepted Answer

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})

Answer

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})

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

Answer

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