What is simplify-1/2*log_{2}(1/2)-1/2*log_{2}(1/2) ?

The solution to simplify-1/2*log_{2}(1/2)-1/2*log_{2}(1/2) is 1

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

simplify

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

1

Solution steps

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

Add similar elements:

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

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

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

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

Apply log rule:

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

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

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

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

= 1

(- 5) \cdot (- 3)

5 y - 3 (y + 2)

6 + 25

\frac{- 0.1 + 6 - 6}{- 0.1}

\frac{15}{9} \div \frac{5}{3}

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