What is simplify-(3/8 log_{2}(3/8)+5/8 log_{2}(5/8)) ?

The solution to simplify-(3/8 log_{2}(3/8)+5/8 log_{2}(5/8)) is -(log_{2}(84375/16777216))/8

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simplify-(3/8 log_{2}(3/8)+5/8 log_{2}(5/8))

simplify

- (\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8}))

- \frac{lo g _{2} ( \frac{84375}{16777216} )}{8}

Decimal Notation

0.95443 \dots

Solution steps

- (\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8}))

\frac{3}{8} lo g_{2} (\frac{3}{8}) + \frac{5}{8} lo g_{2} (\frac{5}{8}) = \frac{3 lo g _{2} ( \frac{3}{8} ) + 5 lo g _{2} ( \frac{5}{8} )}{8}

= - \frac{3 lo g _{2} ( \frac{3}{8} ) + 5 lo g _{2} ( \frac{5}{8} )}{8}

3 lo g_{2} (\frac{3}{8}) + 5 lo g_{2} (\frac{5}{8}) = lo g_{2} (\frac{84375}{16777216})

= - \frac{lo g _{2} ( \frac{84375}{16777216} )}{8}

5 lo g_{7} (2 x) - \frac{1}{3} lo g_{7} (5 x - 1)

ln (θ e^{θ} x^{- θ - 1})

lo g_{10} (x^{3} \cdot y^{2})

lo g_{2} ((3 x)^{3})

lo g_{6} (7 x^{2})

What is simplify-(3/8 log_{2}(3/8)+5/8 log_{2}(5/8)) ?
The solution to simplify-(3/8 log_{2}(3/8)+5/8 log_{2}(5/8)) is -(log_{2}(84375/16777216))/8