What is simplify-4/7 log_{2}(4/7)-3/7 log_{2}(3/7) ?

The solution to simplify-4/7 log_{2}(4/7)-3/7 log_{2}(3/7) is (-8-log_{2}((27)/(7^7)))/7

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simplify-4/7 log_{2}(4/7)-3/7 log_{2}(3/7)

simplify

- \frac{4}{7} lo g_{2} (\frac{4}{7}) - \frac{3}{7} lo g_{2} (\frac{3}{7})

\frac{- 8 - lo g _{2} ( \frac{27}{7 ^{7}} )}{7}

Decimal Notation

0.98522 \dots

Solution steps

- \frac{4}{7} lo g_{2} (\frac{4}{7}) - \frac{3}{7} lo g_{2} (\frac{3}{7})

- \frac{4}{7} lo g_{2} (\frac{4}{7}) - \frac{3}{7} lo g_{2} (\frac{3}{7}) = \frac{- 4 lo g _{2} ( \frac{4}{7} ) - 3 lo g _{2} ( \frac{3}{7} )}{7}

= \frac{- 4 lo g _{2} ( \frac{4}{7} ) - 3 lo g _{2} ( \frac{3}{7} )}{7}

- 4 lo g_{2} (\frac{4}{7}) - 3 lo g_{2} (\frac{3}{7}) = - 8 - lo g_{2} (\frac{27}{7 ^{7}})

= \frac{- 8 - lo g _{2} ( \frac{27}{7 ^{7}} )}{7}

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What is simplify-4/7 log_{2}(4/7)-3/7 log_{2}(3/7) ?
The solution to simplify-4/7 log_{2}(4/7)-3/7 log_{2}(3/7) is (-8-log_{2}((27)/(7^7)))/7