The given expression is:

$\log_2(4) + \log_2(8) + \log_2(16)$

Let's evaluate each term separately:

1. $\log_2(4)$: Since $4 = 2^2$, $\log_2(4) = 2$.
2. $\log_2(8)$: Since $8 = 2^3$, $\log_2(8) = 3$.
3. $\log_2(16)$: Since $16 = 2^4$, $\log_2(16) = 4$.

Now, add these values:

$2 + 3 + 4 = 9$

Thus, the value of the expression is 9.

Would you like further details, or do you have any questions?

Here are 5 questions to deepen your understanding:

1. What is the general rule for calculating logarithms with different bases?
2. How can you simplify logarithmic expressions using properties like the product and power rules?
3. Why is the base-2 logarithm commonly used in computer science?
4. How would you evaluate $\log_3(9) + \log_3(27)$?
5. Can you apply this process to logarithms with other bases, like $\log_5(25)$?

Tip: When evaluating logarithms, express the number as a power of the base to simplify calculations.