What is simplify-(3/4)log_{2}(3/4)-(1/4)log_{2}(1/4) ?

The solution to simplify-(3/4)log_{2}(3/4)-(1/4)log_{2}(1/4) is -3/4 log_{2}(3/4)+1/2

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simplify-(3/4)log_{2}(3/4)-(1/4)log_{2}(1/4)

simplify

- (\frac{3}{4}) lo g_{2} (\frac{3}{4}) - (\frac{1}{4}) lo g_{2} (\frac{1}{4})

- \frac{3}{4} lo g_{2} (\frac{3}{4}) + \frac{1}{2}

Decimal Notation

0.81127 \dots

Solution steps

- (\frac{3}{4}) lo g_{2} (\frac{3}{4}) - (\frac{1}{4}) lo g_{2} (\frac{1}{4})

- (\frac{3}{4}) lo g_{2} (\frac{3}{4}) - (\frac{1}{4}) lo g_{2} (\frac{1}{4}) = - \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{1}{4} lo g_{2} (\frac{1}{4})

= - \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{1}{4} lo g_{2} (\frac{1}{4})

\frac{1}{4} lo g_{2} (\frac{1}{4}) = - \frac{1}{2}

= - \frac{3}{4} lo g_{2} (\frac{3}{4}) - (- \frac{1}{2})

Apply rule:

a - (- b) = a + b

- \frac{3}{4} lo g_{2} (\frac{3}{4}) - (- \frac{1}{2}) = - \frac{3}{4} lo g_{2} (\frac{3}{4}) + \frac{1}{2}

= - \frac{3}{4} lo g_{2} (\frac{3}{4}) + \frac{1}{2}

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What is simplify-(3/4)log_{2}(3/4)-(1/4)log_{2}(1/4) ?
The solution to simplify-(3/4)log_{2}(3/4)-(1/4)log_{2}(1/4) is -3/4 log_{2}(3/4)+1/2