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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-3/7log_{2}(3/7)-4/7log_{2}(4/7)

simplify

- \frac{3}{7} \cdot lo g_{2} (\frac{3}{7}) - \frac{4}{7} \cdot 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}

lo g_{10} (5) + lo g_{10} (8)

\frac{1}{4} ln (y) + ln (z)

lo g_{b} (x^{5} y)

ln (\frac{x}{x ^{2} + 1})

lo g_{10} (x \cdot y \cdot z^{2})

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