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{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}

17 > n + 4

2 x^{2} + 19 x - 10 = 0

\frac{1}{2} x + 4 = \frac{3}{2} x + 5

- x^{2} - 2 x + 3 = 0

(- \frac{3}{2})^{2} + 6 (- \frac{3}{2})

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