Write the equation in logarithmic form.
\[
\left(\frac{1}{5}\right)^{-2}=25
\]

The equation in logarithmic form is $\square$.

Answer

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Answer

Final Answer: $\boxed{\log_{\frac{1}{5}}25=-2}$

Steps

Step 1 ：Write the equation in logarithmic form: $\left(\frac{1}{5}\right)^{-2}=25$

Step 2 ：The equation in logarithmic form is $\log_{\frac{1}{5}}25=-2$

Step 3 ：Final Answer: $\boxed{\log_{\frac{1}{5}}25=-2}$