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}

2 ln (7 x)

ln (\frac{e ^{8}}{2})

2 - ln (7 x)

lo g_{2} ((lo g_{2} (n))^{n})

lo g_{10} (\frac{x}{y ^{5} z ^{9}})

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