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

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

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

simplify

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

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

Decimal Notation

0.86312 \dots

Solution steps

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

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

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

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

lo g_{10} (1.86 \cdot 1 0^{6}) - lo g_{10} (6.9 \cdot 1 0^{4})

6.1 + lo g_{10} (\frac{24.6}{0.0308})

- ln (k C A CB)

lo g_{7} (y x)

ln (\frac{x + 2}{x - 4})

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