The expression you're referring to is $\log_3 43$, which represents the logarithm of 43 with a base of 3. This value answers the question: "To what power must 3 be raised to obtain 43?"

Since 43 is not a power of 3, we can calculate this logarithm using the change of base formula:

$\log_b a = \frac{\log a}{\log b}$

Applying this formula for $\log_3 43$:

$\log_3 43 = \frac{\log 43}{\log 3}$

Using approximate values:

$\log 43 \approx 1.6335 \quad \text{and} \quad \log 3 \approx 0.4771$

$\log_3 43 \approx \frac{1.6335}{0.4771} \approx 3.424$

Thus, $\log_3 43 \approx 3.424$.

This means $3^{3.424}$ is approximately 43.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions:

1. How would you calculate $\log_5 100$ using the change of base formula?
2. Can you solve $\log_3 x = 5$ for $x$?
3. What is the general formula for converting a logarithm to a different base?
4. How do we evaluate $\log_2 64$ without a calculator?
5. What is the relationship between logarithms and exponents?

Tip: When working with logarithms, remember that they are the inverse of exponentiation.