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

simplify

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

lo g_{10} (\frac{x ^{3}}{y})

lo g_{10} (12 x^{4}) - lo g_{10} (4 x)

lo g_{2} (\frac{16}{y})

lo g_{2} (x y) - lo g_{2} (x^{2})

lo g_{3} (x) + lo g_{3} (x + 6)

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