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)+24)/8

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

simplify

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

\frac{- lo g _{2} ( 84375 ) + 24}{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} (84375) + 24

= \frac{- lo g _{2} ( 84375 ) + 24}{8}

lo g_{7} (12 x) - lo g_{7} (7 x^{3})

\frac{1}{2} lo g_{6} (x) + lo g_{6} (y)

lo g_{5} (8) + lo g_{5} (3)

ln (6 a) - 4 ln (b) - ln (2 a)

0.0259 ln (\frac{2 \cdot 1 0 ^{5}}{2.8 \cdot 1 0 ^{19}})

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)+24)/8