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

The solution to simplify-2/5 log_{2}(2/5)-3/5 log_{2}(3/5) is (-2-log_{2}(27/3125))/5

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

simplify

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

\frac{- 2 - lo g _{2} ( \frac{27}{3125} )}{5}

Solution steps

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

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

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

- 2 lo g_{2} (\frac{2}{5}) - 3 lo g_{2} (\frac{3}{5}) = - 2 - lo g_{2} (\frac{27}{3125})

= \frac{- 2 - lo g _{2} ( \frac{27}{3125} )}{5}

lo g_{10} (\frac{x}{10})

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

lo g_{3} (27 x)

lo g_{5} (\frac{4}{x ^{2} 1 - x})

lo g_{7} (7 x)

What is simplify-2/5 log_{2}(2/5)-3/5 log_{2}(3/5) ?
The solution to simplify-2/5 log_{2}(2/5)-3/5 log_{2}(3/5) is (-2-log_{2}(27/3125))/5