The expression \(\log(1000)\) is typically assumed to be a common logarithm, which means it's using base 10. In other words, you're looking for the exponent to which \(10\) must be raised to get \(1000\).

We can express \(1000\) as a power of \(10\):

\[
1000 = 10^3
\]

So:

\[
\log_{10}(1000) = 3
\]

Thus, \(\log(1000) = 3\).

Would you like more details on logarithms or have any questions?

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Here are some related questions:
1. What is the value of \(\log(100)\)?
2. How do you express \(\log_{10}(0.01)\) in exponential form?
3. What is the value of \(\log_{2}(32)\)?
4. Can you explain the difference between natural logarithms and common logarithms?
5. How do you calculate logarithms for non-integer values?
6. What is the value of \(\log_{10}(1)\)?
7. How do you solve logarithmic equations with different bases?
8. What is the significance of the logarithmic scale in real-world applications?

**Tip:** The common logarithm, denoted as \(\log(x)\), assumes a base of 10. This is widely used in scientific calculations and for working with large numbers.

Explore the concept of logarithms and learn how to calculate \(\log(1000)\) using base 10 logarithms. This detailed explanation covers the relationship between logarithms and exponential functions, suitable for high school students and anyone interested in mathematical foundations.

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