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

The solution to 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}

ln (x) + ln (7) - ln (2) - 2 ln (4)

- lo g_{10} (5.33 \cdot 1 0^{- 6})

3.17 + lo g_{10} (\frac{3.4}{0.16})

lo g_{7} (\frac{f}{49})

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