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

The solution to simplify-5/8 log_{2}(5/8)-3/8 log_{2}(3/8) is (-log_{2}(84375)+24)/8

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

simplify

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

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

Decimal Notation

0.95443 \dots

Solution steps

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

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

- 5 lo g_{2} (\frac{5}{8}) - 3 lo g_{2} (\frac{3}{8}) = - lo g_{2} (84375) + 24

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

ln (\frac{e ^{5}}{6})

lo g_{10} (x) - lo g_{10} (y + z)

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

lo g_{5} (\frac{c}{125})

What is simplify-5/8 log_{2}(5/8)-3/8 log_{2}(3/8) ?
The solution to simplify-5/8 log_{2}(5/8)-3/8 log_{2}(3/8) is (-log_{2}(84375)+24)/8