We are given the expression:

$3 \log_2 9 - \log_2 9$

Step 1: Factor Out $\log_2 9$

Since $\log_2 9$ appears in both terms, we factor it out:

$(3 - 1) \log_2 9$

$2 \log_2 9$

Step 2: Apply Logarithm Power Rule

Using the power rule of logarithms:

$a \log_b x = \log_b (x^a)$

we rewrite:

$2 \log_2 9 = \log_2 9^2$

$\log_2 81$

Conclusion:

The expression simplifies to $\log_2 81$, which is a single logarithm.

Would you like more details on logarithmic properties? Here are some related questions:

1. How do you simplify expressions using logarithmic properties?
2. What are the common logarithm rules and when are they used?
3. How do you convert between logarithmic and exponential forms?
4. Can logarithms be negative, and why or why not?
5. What is the change of base formula for logarithms?

Tip: The logarithm power rule helps simplify expressions where a coefficient multiplies a logarithm by rewriting it as an exponent.