Simplify log(a) + log(b) .

*
6 points
log(a+b)
log(a-b)
log(ab)
log(a/b)

To simplify \(\log(a) + \log(b)\), you can use the logarithmic property:

\[
\log(x) + \log(y) = \log(x \cdot y)
\]

Applying this property:

\[
\log(a) + \log(b) = \log(ab)
\]

So, the correct answer is:

**\(\log(ab)\)**

Would you like further details or have any questions?

Here are 8 related questions you might find helpful:
1. How do you simplify \(\log(a) - \log(b)\)?
2. What is the logarithmic property for \(\log(a^n)\)?
3. How would you express \(\log(\frac{a}{b})\) using separate logarithms?
4. Can you combine \(\log(a) + \log(b) - \log(c)\) into a single logarithm?
5. What are the rules for the natural logarithm, \(\ln(x)\)?
6. How do you solve logarithmic equations like \(\log(x) + \log(2) = 3\)?
7. How does changing the base of a logarithm affect the simplification?
8. What is the difference between \(\log(a)\) and \(\ln(a)\)?

**Tip:** Remember that logarithm rules work similarly for both common logarithms (\(\log\)) and natural logarithms (\(\ln\)), just with different bases.

Learn how to simplify the expression \(\log(a) + \log(b)\) using logarithmic properties. This problem involves combining logarithms using the formula \(\log(x) + \log(y) = \log(x \cdot y)\). Suitable for students in Grades 10-12.

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