What is simplify-(7/9 log_{2}(7/9)+2/9 log_{2}(2/9)) ?

The solution to simplify-(7/9 log_{2}(7/9)+2/9 log_{2}(2/9)) is -(log_{2}(3294172/387420489))/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-(7/9 log_{2}(7/9)+2/9 log_{2}(2/9))

simplify

- (\frac{7}{9} lo g_{2} (\frac{7}{9}) + \frac{2}{9} lo g_{2} (\frac{2}{9}))

- \frac{lo g _{2} ( \frac{3294172}{387420489} )}{9}

Decimal Notation

0.76420 \dots

Solution steps

- (\frac{7}{9} lo g_{2} (\frac{7}{9}) + \frac{2}{9} lo g_{2} (\frac{2}{9}))

\frac{7}{9} lo g_{2} (\frac{7}{9}) + \frac{2}{9} lo g_{2} (\frac{2}{9}) = \frac{7 lo g _{2} ( \frac{7}{9} ) + 2 lo g _{2} ( \frac{2}{9} )}{9}

= - \frac{7 lo g _{2} ( \frac{7}{9} ) + 2 lo g _{2} ( \frac{2}{9} )}{9}

7 lo g_{2} (\frac{7}{9}) + 2 lo g_{2} (\frac{2}{9}) = lo g_{2} (\frac{3294172}{387420489})

= - \frac{lo g _{2} ( \frac{3294172}{387420489} )}{9}

lo g_{5} (7) + 4 lo g_{5} (x)

ln (\frac{x ^{2}}{x + 5})

ln (\frac{a}{b}) - 3 ln (a^{2}) + ln (b^{- 2})

3 lo g_{6} (u) + 7 lo g_{6} (v)

ln (7 x^{- 2} y)

What is simplify-(7/9 log_{2}(7/9)+2/9 log_{2}(2/9)) ?
The solution to simplify-(7/9 log_{2}(7/9)+2/9 log_{2}(2/9)) is -(log_{2}(3294172/387420489))/9