en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/3)-ln(1)

Solution

simplify

ln (\frac{1}{3}) - ln (1)

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \dots

Solution steps

ln (\frac{1}{3}) - ln (1)

Apply log rule:

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

ln (\frac{1}{3}) = ln (1) - ln (3)

= ln (1) - ln (3) - ln (1)

Simplify

ln (1) - ln (3) - ln (1) : - ln (3)

= - ln (3)

Popular Examples

simplify (0.9)ln(5500)+(0.1)ln(4500)simplify

(0.9) ln (5500) + (0.1) ln (4500)

simplify ln((2y)/x)simplify

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

simplify ln(80)-ln(180)simplify

ln (80) - ln (180)

simplify ln(2)ln(3)-ln(45)+2ln(5)simplify

ln (2) ln (3) - ln (45) + 2 ln (5)

simplify ln((2^{-4})/(3^15^4))simplify

ln (\frac{2 ^{- 4}}{3 ^{1} 5 ^{4}})

Frequently Asked Questions (FAQ)

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