Final answer:
The given mathematical expression involving logarithms was simplified by applying logarithmic properties. Assuming the intended expression was 2 × log2(4), it was simplified to 4, which would be choice A. The relevant properties used include the understanding of common logarithms and logarithmic operations.
Step-by-step explanation:
The student asked a math question about simplifying an expression that involves logarithms. To simplify the expression 2 log 4, we must apply properties of logarithms. One key property of logarithms is that the logarithm of a number resulting from the division of two numbers is the difference between the logarithms of the two numbers. Another relevant concept is that the common logarithm of a number is the power to which 10 must be raised to equal that number.
However, the given expression seems to have a typo, and it's unclear what the correct expression should be. Assuming the correct expression is 2 × log2(4), we can simplify as follows:
- log2(4) can be calculated as the power to which the base, which is 2, must be raised to get the number, which is 4. In this case, 22 = 4.
- Therefore, log2(4) = 2.
- Multiplying this result by 2 gives us 2 × 2 = 4.
Thus, the simplified expression is 4, which corresponds to choice A.