https://file.aiquickdraw.com/mathbot/file/1726706463874liapqu5t.jpg

The problem asks to evaluate the expression:

\[
\log_2 4 + \log_2 12 - \log_2 6
\]

Let's solve this step-by-step using logarithmic properties:

1. **Simplify each logarithmic term:**
   - \(\log_2 4 = \log_2 (2^2) = 2\).
   - \(\log_2 12 = \log_2 (4 \times 3) = \log_2 4 + \log_2 3 = 2 + \log_2 3\).
   - \(\log_2 6 = \log_2 (2 \times 3) = \log_2 2 + \log_2 3 = 1 + \log_2 3\).

2. **Substitute the simplified values into the expression:**

   \[
   (2) + (2 + \log_2 3) - (1 + \log_2 3)
   \]

3. **Simplify the expression:**

   \[
   2 + 2 + \log_2 3 - 1 - \log_2 3 = 4 - 1 = 3.
   \]

Therefore, the value of the expression is:

\[
\boxed{3}
\]

Would you like more details or have any questions?

### Related Questions:
1. How do you simplify logarithmic expressions involving products and quotients?
2. What are the properties of logarithms used in solving this problem?
3. How can we change the base of a logarithm to make calculations easier?
4. How do logarithmic scales work, and where are they applied in real life?
5. What is the relationship between exponential and logarithmic functions?

**Tip:** Always remember that \(\log_a (xy) = \log_a x + \log_a y\) and \(\log_a \left(\frac{x}{y}\right) = \log_a x - \log_a y\).

Nilai dari log_2 4 + log_2 12 - log_2 6 adalah?

Learn how to simplify the logarithmic expression log_2 4 + log_2 12 - log_2 6 using the properties of logarithms. This step-by-step solution covers key logarithmic rules such as the product and quotient rules, making it suitable for high school students in Grades 10-12.

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