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

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

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

simplify

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

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

Decimal Notation

0.98522 \dots

Solution steps

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

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

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

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

ln (a + b) + ln (a - b) - 5 ln (c)

2 ln (x) - 6 ln (y)

ln (x) - ln (2)

lo g_{b} (\frac{mn}{4})

lo g_{4} (5^{4})

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