The logarithmic expression \( \log_3(9) = 2 \) can be rewritten in index (exponential) form as:

\[
3^2 = 9
\]

This means that 3 raised to the power of 2 equals 9.

Would you like further details or have any questions about logarithms or exponents?

Here are five related questions to deepen your understanding:

1. How would you express \( \log_2(8) = 3 \) in index form?
2. What is the value of \( \log_5(25) \)?
3. How would you solve \( \log_4(x) = 2 \) for \( x \)?
4. Can you express \( \log_{10}(1000) = 3 \) in index form?
5. What is the general form of converting a logarithm to an exponent?

**Tip:** The logarithmic equation \( \log_b(a) = c \) can always be rewritten as \( b^c = a \).

Understand how to convert the logarithmic expression log base 3 of 9 equals 2 into its exponential form. This problem introduces logarithms and exponents, with step-by-step guidance suitable for Grades 8-10 students.

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