Evaluate log base 2 of 16

Problem

(log_2)(16)

Solution

1. Identify the base and the argument of the logarithm. The base is 2 and the argument is 16

2. Rewrite the argument as a power of the base. Since 2×2×2×2=16 we can write 16=2^4

3. Substitute the power into the logarithmic expression to get (log_2)(2^4)

4. Apply the property of logarithms (log_b)(b^x)=x In this case, (log_2)(2^4)=4

Final Answer

(log_2)(16)=4

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