en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4/(4+2))

Solution

simplify

ln (\frac{4}{4 + 2})

Solution

2 ln (2) - ln (6)

+1

Decimal Notation

- 0.40546 \dots

Solution steps

ln (\frac{4}{4 + 2})

Apply log rule:

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

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

= ln (4) - ln (4 + 2)

Add the numbers:

4 + 2 = 6

= ln (4) - ln (6)

ln (4) = 2 ln (2)

= 2 ln (2) - ln (6)

Popular Examples

simplify log_{8}((sqrt(z))/(64))simplify

lo g_{8} (\frac{z}{64})

expand log_{5}(4x^7)expand

lo g_{5} (4 x^{7})

simplify log_{2}(3/(2x))simplify

lo g_{2} (\frac{3}{2 x})

simplify log_{a}((x^4)/(y^2a^7))simplify

lo g_{a} (\frac{x ^{4}}{y ^{2} a ^{7}})

simplify ln((e^6)/(10))simplify

ln (\frac{e ^{6}}{10})

Frequently Asked Questions (FAQ)

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