Exponential and Logarithmic Functions Converting between natural logarithmic and exponential equi Rewrite each equation as requested. (a) Rewrite as an exponential equation. \[ \ln 8=y \] (b) Rewrite as a logarithmic equation. \[ e^{9}=x \]

Step 1 ：Rewrite the equation \(\ln 8=y\) as an exponential equation. The natural logarithm is the inverse of the exponential function, so the equation can be rewritten as \(e^{y}=8\).

Step 2 ：Rewrite the equation \(e^{9}=x\) as a logarithmic equation. The logarithm is the inverse of the exponential function, so the equation can be rewritten as \(\ln x=9\).