Problem

Evaluate the following expression. \[ \log _{2}\left(\frac{1}{2}\right) \]

Solution

Step 1 :Evaluate the following expression: \(\log _{2}\left(\frac{1}{2}\right)\)

Step 2 :The logarithm base 2 of 1/2 is asking the question: '2 to what power equals 1/2?'

Step 3 :We know that 2 to the power of -1 equals 1/2.

Step 4 :Therefore, the answer should be -1.

Step 5 :Final Answer: \(\boxed{-1}\)

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Source: https://solvelyapp.com/problems/eP4E51kyeh/

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