en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-2ln(4/9)

Solution

simplify

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

Solution

- 2 (2 ln (2) - 2 ln (3))

+1

Decimal Notation

1.62186 \dots

Solution steps

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

Apply log rule:

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

ln (\frac{4}{9}) = ln (4) - ln (9)

= - 2 (ln (4) - ln (9))

ln (4) = 2 ln (2)

ln (9) = 2 ln (3)

= - 2 (2 ln (2) - 2 ln (3))

Popular Examples

simplify ln(e^4 1/((e^2-1)*0.95+e^2))simplify

ln (e^{4} \frac{1}{( e ^{2} - 1 ) \cdot 0.95 + e ^{2}})

simplify log_{3}(x)+4log_{3}(y)-3log_{3}(z)simplify

lo g_{3} (x) + 4 lo g_{3} (y) - 3 lo g_{3} (z)

simplify 10ln(5/2)simplify

10 ln (\frac{5}{2})

simplify ln(90/100)simplify

ln (\frac{90}{100})

simplify-12(1/2 ln|4x+10|-1/2 ln|4x+8|)simplify

- 12 (\frac{1}{2} ln ∣ 4 x + 10 ∣ - \frac{1}{2} ln ∣ 4 x + 8 ∣)

Frequently Asked Questions (FAQ)

What is simplify-2ln(4/9) ?
The solution to simplify-2ln(4/9) is -2(2ln(2)-2ln(3))