The equation provided is:

$6 = 4^x$

To express this in logarithmic form, we use the general rule:

$a^b = c \quad \text{can be written as} \quad \log_a(c) = b$

In your case, the base $a = 4$, the exponent $b = x$, and the result $c = 6$. Thus, the equation in logarithmic form is:

$\log_4(6) = x$

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you convert from logarithmic form back to exponential form?
2. What is the natural logarithm, and how is it different from other logarithms?
3. How can you calculate $\log_4(6)$ using a calculator?
4. What are the properties of logarithms that can simplify expressions like $\log_4(6)$?
5. Can you use change of base formula to express $\log_4(6)$ in terms of base 10 or base $e$?

Tip: The change of base formula can help when a calculator doesn't support a specific base: $\log_b(a) = \frac{\log_c(a)}{\log_c(b)}$.