Question

solve \\(\log_{2}(16 \cdot 64)\\). drag and drop the correct solution into the box. (5 points)

Explanation:

Step1: Apply log product rule

$\log_2(16 \cdot 64) = \log_2 16 + \log_2 64$

Step2: Rewrite terms as powers of 2

$\log_2 2^4 + \log_2 2^6$

Step3: Use log power rule

$4\log_2 2 + 6\log_2 2$

Step4: Evaluate $\log_2 2 = 1$

$4(1) + 6(1)$

Step5: Sum the values

$4 + 6 = 10$

Answer:

10