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_{10} (\frac{x ^{5}}{y ^{4}})

ln (\frac{x + 9}{x ( x - 4 )})

ln (3) + \frac{1}{2} ln (x) + ln (y) - \frac{1}{3} ln (z)

lo g_{10} (2) + lo g_{10} (9)

6 lo g_{10} (a) + lo g_{10} (b)

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