What is 1/4 log_{2}(1/4)+3/4 log_{2}(3/4) ?

The solution to 1/4 log_{2}(1/4)+3/4 log_{2}(3/4) is -1/2+3/4 log_{2}(3/4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/4 log_{2}(1/4)+3/4 log_{2}(3/4)

simplify

\frac{1}{4} lo g_{2} (\frac{1}{4}) + \frac{3}{4} lo g_{2} (\frac{3}{4})

- \frac{1}{2} + \frac{3}{4} lo g_{2} (\frac{3}{4})

Decimal Notation

- 0.81127 \dots

Solution steps

\frac{1}{4} lo g_{2} (\frac{1}{4}) + \frac{3}{4} lo g_{2} (\frac{3}{4})

lo g_{2} (\frac{1}{4}) = - 2

= \frac{1}{4} (- 2) + \frac{3}{4} lo g_{2} (\frac{3}{4})

\frac{1}{4} (- 2) = - \frac{1}{2}

= - \frac{1}{2} + \frac{3}{4} lo g_{2} (\frac{3}{4})

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

ln (\frac{1}{x})

lo g_{10} (\frac{x}{y ^{3} z})

lo g_{5} (x y)

ln (\frac{x}{6})

What is 1/4 log_{2}(1/4)+3/4 log_{2}(3/4) ?
The solution to 1/4 log_{2}(1/4)+3/4 log_{2}(3/4) is -1/2+3/4 log_{2}(3/4)