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

The solution to 2/3 log_{2}(3/2)+1/3 log_{2}(3) is (log_{2}(27/4))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

\frac{lo g _{2} ( \frac{27}{4} )}{3}

Decimal Notation

0.91829 \dots

Solution steps

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

\frac{2}{3} lo g_{2} (\frac{3}{2}) + \frac{1}{3} lo g_{2} (3) = \frac{2 lo g _{2} ( \frac{3}{2} ) + lo g _{2} ( 3 )}{3}

= \frac{2 lo g _{2} ( \frac{3}{2} ) + lo g _{2} ( 3 )}{3}

2 lo g_{2} (\frac{3}{2}) + lo g_{2} (3) = lo g_{2} (\frac{27}{4})

= \frac{lo g _{2} ( \frac{27}{4} )}{3}

lo g_{35} (\frac{20000}{34}) + 1

- lo g_{10} (2.9 \cdot 1 0^{- 8})

lo g_{3} (\frac{x}{27})

lo g_{b} (x^{6} y)

\frac{1}{8} ln (x) + ln (y)

What is 2/3 log_{2}(3/2)+1/3 log_{2}(3) ?
The solution to 2/3 log_{2}(3/2)+1/3 log_{2}(3) is (log_{2}(27/4))/3