What is ((6(ln(3)-ln(2))(-3)/2)+4)*2 ?

The solution to ((6(ln(3)-ln(2))(-3)/2)+4)*2 is 2(-9ln(3/2)+4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((6(ln(3)-ln(2))(-3)/2)+4)*2

simplify

((6 (ln (3) - ln (2)) \frac{- 3}{2}) + 4) \cdot 2

2 (- 9 ln (\frac{3}{2}) + 4)

Decimal Notation

0.70162 \dots

Solution steps

((6 (ln (3) - ln (2)) \frac{- 3}{2}) + 4) \cdot 2

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (3) - ln (2) = ln (\frac{3}{2})

= (6 ln (\frac{3}{2}) \frac{- 3}{2} + 4) \cdot 2

6 ln (\frac{3}{2}) \frac{- 3}{2} = - 9 ln (\frac{3}{2})

= 2 (- 9 ln (\frac{3}{2}) + 4)

- ln (\frac{i - n}{i})

lo g_{10} (\frac{y}{1000000})

ln (a b^{3})

ln (\frac{0.092}{0.4})

lo g_{3} (a^{7}) + (lo g_{3} (a^{4}) - 2 lo g_{3} (b))

What is ((6(ln(3)-ln(2))(-3)/2)+4)*2 ?
The solution to ((6(ln(3)-ln(2))(-3)/2)+4)*2 is 2(-9ln(3/2)+4)