What is simplify-1/8 log_{2}(1/8)-7/8 log_{2}(7/8) ?

The solution to simplify-1/8 log_{2}(1/8)-7/8 log_{2}(7/8) is 3/8-7/8 log_{2}(7/8)

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simplify-1/8 log_{2}(1/8)-7/8 log_{2}(7/8)

simplify

- \frac{1}{8} lo g_{2} (\frac{1}{8}) - \frac{7}{8} lo g_{2} (\frac{7}{8})

\frac{3}{8} - \frac{7}{8} lo g_{2} (\frac{7}{8})

Decimal Notation

0.54356 \dots

Solution steps

- \frac{1}{8} lo g_{2} (\frac{1}{8}) - \frac{7}{8} lo g_{2} (\frac{7}{8})

lo g_{2} (\frac{1}{8}) = - 3

= - \frac{1}{8} (- 3) - \frac{7}{8} lo g_{2} (\frac{7}{8})

- \frac{1}{8} (- 3) = \frac{3}{8}

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

2 lo g_{10} (m) + 3 lo g_{10} (n)

lo g_{3} (y) + lo g_{3} (y + 2)

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 2 lo g_{c} (x)

lo g_{2} (x^{2}) - 3 lo g_{2} ((x + 3)^{2})

lo g_{3} (y) + lo g_{3} (y + 8)

What is simplify-1/8 log_{2}(1/8)-7/8 log_{2}(7/8) ?
The solution to simplify-1/8 log_{2}(1/8)-7/8 log_{2}(7/8) is 3/8-7/8 log_{2}(7/8)