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

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

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

simplify

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

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

Decimal Notation

0.81127 \dots

Solution steps

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

lo g_{2} (4) = 2

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

\frac{1}{4} \cdot 2 = \frac{1}{2}

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

- lo g_{10} (8 \cdot 1 0^{- 9})

lo g_{2} ((\frac{b}{c})^{2})

- lo g_{10} (1.9 \cdot 1 0^{- 4})

lo g_{10} (a b^{2})

ln (x^{6} y^{3})

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