QUESTION 7 - 1 POINT
Which expression is equivalent to $3 \log 6-4 \log 2-\log 3$ ?

Select the correct answer below:
$\log \frac{9}{2}$
$\log 7$
$\log 13$
$\log 33$
$\log \frac{81}{2}$

Step 1 ：The question is asking for the equivalent form of the given logarithmic expression. We know that the properties of logarithms allow us to simplify expressions. Specifically, we can use the following properties:

Step 2 ：1. \(a \log b = \log b^a\)

Step 3 ：2. \(\log a - \log b = \log \frac{a}{b}\)

Step 4 ：We can apply these properties to the given expression to simplify it.

Step 5 ：We can calculate the value of the given expression and the value of each of the answer choices. The correct answer will be the one that matches the value of the given expression.

Step 6 ：The value of the given expression is approximately 1.504. The only answer choice that matches this value is the first one, \(\log \frac{9}{2}\). Therefore, the equivalent expression to \(3 \log 6-4 \log 2-\log 3\) is \(\log \frac{9}{2}\).

Step 7 ：Final Answer: The equivalent expression is \(\boxed{\log \frac{9}{2}}\).