en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((1-2)/(2+1))

Solution

simplify

ln (\frac{1 - 2}{2 + 1})

Solution

ln (- 1) - ln (3)

Solution steps

ln (\frac{1 - 2}{2 + 1})

Apply log rule:

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

ln (\frac{1 - 2}{2 + 1}) = ln (1 - 2) - ln (2 + 1)

= ln (1 - 2) - ln (2 + 1)

Subtract the numbers:

1 - 2 = - 1

= ln (- 1) - ln (2 + 1)

Add the numbers:

2 + 1 = 3

= ln (- 1) - ln (3)

Popular Examples

simplify 3log_{2}(x)+5log_{2}(y)simplify

3 lo g_{2} (x) + 5 lo g_{2} (y)

simplify log_{5}(x^3y^6)simplify

lo g_{5} (x^{3} y^{6})

simplify log_{b}(z^7x)simplify

lo g_{b} (z^{7} x)

simplify log_{10}(c)-5log_{10}(k)simplify

lo g_{10} (c) - 5 lo g_{10} (k)

simplify ln(9/(2x^2y))simplify

ln (\frac{9}{2 x ^{2} y})

Frequently Asked Questions (FAQ)

What is ln((1-2)/(2+1)) ?
The solution to ln((1-2)/(2+1)) is ln(-1)-ln(3)