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Popular >

simplify 1/2 log_{2}(1/2)

Solution

simplify

\frac{1}{2} lo g_{2} (\frac{1}{2})

Solution

- \frac{1}{2}

+1

Decimal Notation

- 0.5

Solution steps

\frac{1}{2} lo g_{2} (\frac{1}{2})

\frac{1}{2} = 2^{- 1}

= \frac{1}{2} lo g_{2} (2^{- 1})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{2} (2^{- 1}) = - 1

= \frac{1}{2} (- 1)

\frac{1}{2} (- 1) = - \frac{1}{2}

= - \frac{1}{2}

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Frequently Asked Questions (FAQ)

What is 1/2 log_{2}(1/2) ?
The solution to 1/2 log_{2}(1/2) is -1/2