To solve $\log_{10}(8 \times 13)$, we can simplify step-by-step:

1. Combine $8$ and $13$ through multiplication: $8 \times 13 = 104$

2. Evaluate $\log_{10}(104)$. Using a scientific calculator or approximation: $\log_{10}(104) \approx 2.017$

Final Answer:

$\log_{10}(8 \times 13) \approx 2.017$

Would you like a detailed explanation of how logarithms work or have any specific questions?

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Related Questions:

1. What is $\log_{10}(8) + \log_{10}(13)$, and why does it equal $\log_{10}(8 \times 13)$?
2. How is the base 10 logarithm different from natural logarithms (base $e$)?
3. Can we approximate $\log_{10}(104)$ without a calculator?
4. What is the inverse of $\log_{10}(104)$?
5. How does $\log_{10}(104)$ change if we use a different base, like base 2?

Tip:

When dealing with logarithms, remember that $\log_{b}(mn) = \log_{b}(m) + \log_{b}(n)$. This property simplifies computations significantly!