1. **State the problem:** We want to understand why the graphs of $\log(1000x)$ and $\log x + 3$ are the same. 2. **Recall the logarithm property:** The logarithm of a product can be expressed as the sum of logarithms: $$\log(ab) = \log a + \log b$$ 3. **Apply the property to $\log(1000x)$:** $$\log(1000x) = \log 1000 + \log x$$ 4. **Evaluate $\log 1000$:** Since $1000 = 10^3$, $$\log 1000 = 3$$ 5. **Rewrite $\log(1000x)$:** $$\log(1000x) = 3 + \log x$$ 6. **Compare with $\log x + 3$:** Both expressions are equal: $$\log(1000x) = \log x + 3$$ 7. **Conclusion:** The graphs of $\log(1000x)$ and $\log x + 3$ are the same because they represent the same function, just written differently using logarithm properties.