What is simplify-(5/7 log_{2}(5/7)+2/7 log_{2}(2/7)) ?

The solution to simplify-(5/7 log_{2}(5/7)+2/7 log_{2}(2/7)) is -(2+log_{2}((3125)/(7^7)))/7

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simplify-(5/7 log_{2}(5/7)+2/7 log_{2}(2/7))

simplify

- (\frac{5}{7} lo g_{2} (\frac{5}{7}) + \frac{2}{7} lo g_{2} (\frac{2}{7}))

- \frac{2 + lo g _{2} ( \frac{3125}{7 ^{7}} )}{7}

Decimal Notation

0.86312 \dots

Solution steps

- (\frac{5}{7} lo g_{2} (\frac{5}{7}) + \frac{2}{7} lo g_{2} (\frac{2}{7}))

\frac{5}{7} lo g_{2} (\frac{5}{7}) + \frac{2}{7} lo g_{2} (\frac{2}{7}) = \frac{5 lo g _{2} ( \frac{5}{7} ) + 2 lo g _{2} ( \frac{2}{7} )}{7}

= - \frac{5 lo g _{2} ( \frac{5}{7} ) + 2 lo g _{2} ( \frac{2}{7} )}{7}

5 lo g_{2} (\frac{5}{7}) + 2 lo g_{2} (\frac{2}{7}) = 2 + lo g_{2} (\frac{3125}{7 ^{7}})

= - \frac{2 + lo g _{2} ( \frac{3125}{7 ^{7}} )}{7}

lo g_{2} (2 x y)

lo g_{10} (9) + lo g_{10} (10) - lo g_{10} (5)

ln (3) - ln (27)

0.5 ln (x^{2} + 1) - 4 ln (0.5) - 0.5 (ln (x + 4) + ln (x))

ln (\frac{e ^{6}}{3})

What is simplify-(5/7 log_{2}(5/7)+2/7 log_{2}(2/7)) ?
The solution to simplify-(5/7 log_{2}(5/7)+2/7 log_{2}(2/7)) is -(2+log_{2}((3125)/(7^7)))/7