1. The problem asks to rewrite the exponential function $$y = 4.6 \times (0.6)^x$$ in terms of the base $$e$$, the natural exponential base. 2. Recall the property of exponents: for any positive number $$a$$, $$a^x = e^{x \ln(a)}$$ where $$\ln$$ is the natural logarithm. 3. Applying this to $$0.6^x$$, we get: $$0.6^x = e^{x \ln(0.6)}$$ 4. Substitute back into the original equation: $$y = 4.6 \times e^{x \ln(0.6)}$$ 5. This is the rewritten form of the function in terms of the natural exponential function. Final answer: $$y = 4.6 e^{x \ln(0.6)}$$