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

The solution to 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})

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

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

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

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

ln (\frac{x ^{4} y}{z ^{5}})

lo g_{4} ((x y)^{3}) - lo g_{4} (x y)

lo g_{2} (7) - lo g_{2} (5)

lo g_{2} (\frac{x ^{3} y}{5 z ^{6}})

lo g_{5} (\frac{25}{x + 9})

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