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The expression given is \( \log_3 81 = 4 \). To rewrite this in exponential form, we can use the following relationship between logarithms and exponents:

\[
\log_b a = c \quad \text{is equivalent to} \quad b^c = a
\]

In this case:
- The base \( b \) is 3,
- The result \( c \) is 4,
- And the number \( a \) is 81.

Thus, the equivalent exponential form is:

\[
3^4 = 81
\]

Let me know if you'd like further details or clarifications!

Here are 5 related questions for further exploration:
1. How do you convert an exponential equation to logarithmic form?
2. What is the general form of an exponential function?
3. How do you solve logarithmic equations with different bases?
4. Can logarithmic functions be graphed easily? How would you graph \( y = \log_3 x \)?
5. What are some real-world applications of logarithms and exponential functions?

**Tip:** Always remember that logarithms and exponents are inverse functions of each other!

Rewrite the expression log_3 81 = 4 in equivalent exponential form.

Learn how to rewrite the logarithmic expression log_3 81 = 4 into its equivalent exponential form. This problem demonstrates the relationship between logarithms and exponents using the formula log_b a = c is equivalent to b^c = a. Suitable for students in Grades 8-10.

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