Write in logarithmic form.
\[
5^{2}=25
\]

Answer

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Answer

Final Answer: The logarithmic form of the given equation is \(\boxed{\log_{5}25 = 2}\).

Steps

Step 1 ：Write the given equation in exponential form, which is \(5^{2}=25\).

Step 2 ：Convert the exponential form to logarithmic form. The general form of an exponential equation is \(b^{y} = x\), which can be rewritten in logarithmic form as \(\log_{b}x = y\).

Step 3 ：Substitute the values from the given equation into the logarithmic form. Here, \(b = 5\), \(y = 2\), and \(x = 25\).

Step 4 ：The logarithmic form of the given equation is \(\log_{5}25 = 2\).

Step 5 ：Final Answer: The logarithmic form of the given equation is \(\boxed{\log_{5}25 = 2}\).

Write in logarithmic form.\[5^{2}=25\]

Answer

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Write in logarithmic form.
\[
5^{2}=25
\]