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

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

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

simplify

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

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

Decimal Notation

0.81127 \dots

Solution steps

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

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

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

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

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

lo g_{b} (\frac{1}{72})

ln (8) - ln (5)

lo g_{4} (x y^{4} z^{4})

lo g_{10} (x) - 3 lo g_{10} (y) + 4 lo g_{10} (z)

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