Evaluate log ⁡ 2 16 log 2 ​ 16.

Concept / Approach

• Recognize 16 = 2 4 16=2 4 .

Step-by-step calculation
log ⁡ 2 16 = log ⁡ 2 ( 2 4 ) = < 𝑚 𝑎 𝑟 𝑘 > 4 < / 𝑚 𝑎 𝑟 𝑘 > log 2 ​ 16=log 2 ​ (2 4 )=4

Common pitfalls

• Confusing base and argument; the base is 2 here.

Final Answer
4