We need to evaluate the expression $\log_2(16 \times 4)$.

1. Problem Description

We need to evaluate the expression $\log_2(16 \times 4)$.

2. Solution Steps

First, we simplify the argument of the logarithm:

$16 \times 4 = 64$

Now, we have $\log_2(64)$. We want to find what power of 2 gives us

6

4. We can write 64 as a power of 2:

$64 = 2^6$

Therefore,

$\log_2(64) = \log_2(2^6)$

Using the logarithm property $\log_a(a^x) = x$, we have:

$\log_2(2^6) = 6$

3. Final Answer

6