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The equation provided is:

\[
\log_3 81 = x
\]

### Step-by-step Solution:

1. **Understand the meaning of logarithms**:
   The equation \(\log_3 81 = x\) means:
   \[
   3^x = 81
   \]

2. **Express 81 as a power of 3**:
   Since \(81 = 3^4\), we rewrite the equation as:
   \[
   3^x = 3^4
   \]

3. **Equating the exponents**:
   Since the bases are the same, the exponents must also be equal:
   \[
   x = 4
   \]

### Final Answer:
\[
x = 4
\]

---

Do you want me to provide more details or verify using another method? Let me know!

### Related Questions:
1. How do you solve logarithmic equations when the base is not obvious?
2. What happens when logarithms involve decimals or fractions (e.g., \(\log_3 27\))?
3. How can you solve equations involving natural logarithms (\(\ln\))?
4. What are the properties of logarithms that simplify solving equations like this?
5. How can you calculate logarithms without a calculator for bases other than 10 or \(e\)?

### Tip:
To verify your solution, always rewrite the logarithmic equation in its exponential form and check your result!

Learn how to solve the logarithmic equation log_3 81 = x with a detailed step-by-step explanation. Understand key concepts in logarithms, exponents, and algebra, suitable for students in Grades 8-10.

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