Problem

Write in logarithmic form.
\[
6^{2}=36
\]
What is the equivalent logarithmic form?
\[
\log _{6} \square=
\]
(Simplify your answers. Type integers or fractions.)

Answer

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Answer

\(\boxed{\log_{6}(36) = 2}\)

Steps

Step 1 :Given the exponential equation: \(6^2 = 36\)

Step 2 :Convert to logarithmic form: \(\log_{6}(\square) = 2\)

Step 3 :Find the value inside the square: \(\log_{6}(36) = 2\)

Step 4 :\(\boxed{\log_{6}(36) = 2}\)

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