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!