Rewrite the following equation in terms of base $e$. Express the answer in terms of a natural logarithm, then round to three decimal places. \[ y=1.3(0.3)^{x} \] Rewrite the equation in terms of base $e$. Express the answer in terms of a natural logarithm. \[ y= \]

Step 1 ：The given equation is in the form of an exponential function with base 0.3. We can rewrite this in terms of base e by using the property of logarithms that states \(a^b = e^{b \ln a}\). Therefore, we can rewrite the equation as \(y = 1.3e^{x \ln 0.3}\).

Step 2 ：Calculate the natural logarithm of 0.3, which is approximately -1.204.

Step 3 ：Substitute this value into the equation to get the final answer.

Step 4 ：\(\boxed{y = 1.3e^{-1.204x}}\)