Answer
See below:
Work Step by Step
The exponential form of the logarithmic function, \[y={{\log }_{5}}x\], will be:
\[\begin{align}
& y={{\log }_{5}}x \\
& {{5}^{y}}=x \\
& x={{5}^{y}}
\end{align}\]
Therefore, the exponential form of the logarithmic function, \[y={{\log }_{5}}x\], is \[x={{5}^{y}}\].