The given expression is:

\[
\log_{10}(40) + \log_{10}(2.5)
\]

We can simplify this using the logarithm property:

\[
\log_{10}(a) + \log_{10}(b) = \log_{10}(a \times b)
\]

So:

\[
\log_{10}(40) + \log_{10}(2.5) = \log_{10}(40 \times 2.5)
\]

Next, multiply \(40\) and \(2.5\):

\[
40 \times 2.5 = 100
\]

Thus:

\[
\log_{10}(100) = 2
\]

So, the final answer is:

\[
\log_{10}(40) + \log_{10}(2.5) = 2
\]

Would you like more details or have any questions?  

Here are some related questions you might find helpful:

1. What are the properties of logarithms and how are they used?
2. How do you solve logarithmic equations?
3. What is the change of base formula for logarithms?
4. How do logarithms relate to exponential functions?
5. How can you graph logarithmic functions?

**Tip:** Remember that \(\log_{10}(100) = 2\) because \(10^2 = 100\). This is a fundamental property of logarithms.

Learn how to simplify the expression log base 10 of 40 plus log base 10 of 2.5 using logarithm properties and multiplication rules. Understand the fundamental properties of logarithms and their application in mathematical calculations. Suitable for students in Grades 10-12.

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