Rewrite each equation as requested.
(a) Rewrite as a logarithmic equation.
\[
e^{x}=5
\]
(b) Rewrite as an exponential equation.

Step 1 ：Rewrite each equation as requested.

Step 2 ：(a) To rewrite the equation \(e^{x}=5\) as a logarithmic equation, we need to understand that the logarithm is the inverse operation to exponentiation. The base of the logarithm will be the base of the exponent, which is \(e\) in this case. The argument of the logarithm will be the number on the right side of the equation, which is \(5\) in this case. The result of the logarithm will be the exponent, which is \(x\) in this case.

Step 3 ：(b) To rewrite a logarithmic equation as an exponential equation, we need to understand that the base of the exponent will be the base of the logarithm, the exponent will be the result of the logarithm, and the number on the right side of the equation will be the argument of the logarithm. However, since the question does not provide a specific logarithmic equation to rewrite, we cannot proceed with this part.

Step 4 ：Final Answer: (a) The equation \(e^{x}=5\) rewritten as a logarithmic equation is \(\boxed{\log_{e}5=x}\) or \(\boxed{ln(5)=x}\). (b) The question does not provide a specific logarithmic equation to rewrite as an exponential equation.