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-3/8 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} ( 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}

∣ 3 x + 5 ∣ = ∣ 2 x + 20 ∣

1 - 64 a^{3}

ln (10000)

\frac{10}{5}

- 7 a^{- 4} b^{3}

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