To calculate $\log_3(59000)$, we can apply the change of base formula, which states:

$\log_b(x) = \frac{\log(x)}{\log(b)}$

Here, $b = 3$ and $x = 59000$. So,

$\log_3(59000) = \frac{\log(59000)}{\log(3)}$

Let me calculate this for you.The value of $\log_3(59000)$ is approximately $9.999$.

Would you like further details on the calculation or related concepts?

Here are 5 related questions to explore:

1. What is the change of base formula and when is it used?
2. How would you calculate $\log_3(100000)$?
3. Can logarithmic identities simplify expressions like $\log_3(59000)$?
4. How do natural logs relate to common logarithms?
5. What are some applications of logarithms in real-world problems?

Tip: When using logarithms in different bases, remember that the change of base formula simplifies complex calculations into easier-to-handle base-10 or natural logarithms.