Problem
Write the equation in logarithmic form. \[ \left(\frac{1}{5}\right)^{-2}=25 \] The equation in logarithmic form is $\square$.
Solution
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: \(\boxed{\log_{\frac{1}{5}}25=-2}\)
