Evaluate log base 4 of 16

Problem

(log_4)(16)

Solution

1. Identify the base and the argument of the logarithm. The base is 4 and the argument is 16

2. Rewrite the argument 16 as a power of the base 4

16=4

3. Substitute the power back into the logarithmic expression.

(log_4)(4)

4. Apply the property of logarithms (log_b)(bx)=x

(log_4)(4)=2

Final Answer

(log_4)(16)=2

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