To rewrite the equation $3^2 = 9$ in logarithmic form, we use the rule:

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

In this case:

• The base $a$ is $3$,
• The exponent $b$ is $2$,
• And the result $c$ is $9$.

So, the equation $3^2 = 9$ in logarithmic form is:

$\log_3(9) = 2$

If you have any further questions or need more details, feel free to ask!

---

1. What is the general form for converting exponential equations to logarithmic form?
2. How do you solve logarithmic equations with different bases?
3. How would you convert $2^5 = 32$ into logarithmic form?
4. What is the relationship between logarithms and exponents?
5. How do you calculate logarithmic values without a calculator?

Tip: Remember, the base in a logarithmic equation refers to the base of the exponent in its exponential form.