Write the given exponential equations in logarithmic form. \[ \begin{array}{ll}5^{x}=y\end{array} \]

To convert the exponential equation \(5^{x} = y\) into logarithmic form, we can rephrase it as "the logarithm of \(y\) with base \(5\) equals \(x\)." So, we write it as: \[ \log_{5}(y) = x \] This transformation showcases the relationship between the base, the exponent, and the result. Just think of it as flipping the equation around to express it in a different, yet equally valid, mathematical language! Now you can easily solve for \(x\) using logarithms whenever you're dealing with exponential equations! Remember, it's all about changing perspectives!