The expression simplifies to:

$\frac{1}{24 \cdot \log(\log(10))} + \frac{\log(3)}{\log(10)} + 1$

Would you like further clarification or any additional details? Here are 5 related questions you might be interested in:

1. What is the approximate value of this expression?
2. How do logarithmic properties help simplify complex expressions?
3. Can we compute $\log(\log(10))$ numerically?
4. How would this expression change if the logarithm base was different?
5. What are the real-world applications of such logarithmic expressions?

Tip: Logarithms are often used to simplify the handling of very large or small numbers, making them particularly useful in scientific and engineering fields.