1. **State the question:** Why is the solution written as $3 e^{2+x}$ instead of $3 e^{2} e^{x}$? 2. **Recall the exponential property:** For any real numbers $a$ and $b$, the exponential function satisfies: $$e^{a+b} = e^{a} \cdot e^{b}.$$ 3. **Apply this property:** In the solution, $3 e^{2+x}$ can be rewritten as: $$3 e^{2+x} = 3 e^{2} e^{x}.$$ 4. **Explanation:** Writing $3 e^{2+x}$ is just a more compact way to express the product $3 e^{2} e^{x}$ using the exponent addition rule. 5. **Summary:** Both forms are equivalent and correct. The expression $3 e^{2+x}$ uses the property of exponents to combine terms for simplicity and clarity.