The expression $\log_3 9$ represents the logarithm of 9 with base 3.

Solution:

We are solving for $x$ in the equation: $\log_3 9 = x \implies 3^x = 9$

Step 1: Rewrite 9 as a power of 3

$9 = 3^2$

Step 2: Substitute into the equation

$3^x = 3^2$

Step 3: Equating exponents

Since the bases are the same, the exponents must also be equal: $x = 2$

Final Answer:

$\log_3 9 = 2$

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

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Here are 5 related questions:

1. What is $\log_3 27$?
2. How do you evaluate $\log_3 81$?
3. How would you compute $\log_3 1$?
4. What is the relationship between logarithms and exponents?
5. How do you simplify $\log_3 (3 \cdot 9)$?

Tip: Always try rewriting numbers in terms of the base for easier logarithmic evaluations!