en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(200/100)

Solution

simplify

ln (\frac{200}{100})

Solution

ln (200) - 2 ln (10)

+1

Decimal Notation

0.69314 \dots

Solution steps

ln (\frac{200}{100})

Apply log rule:

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

ln (\frac{200}{100}) = ln (200) - ln (100)

= ln (200) - ln (100)

ln (100) = 2 ln (10)

= ln (200) - 2 ln (10)

Popular Examples

simplify ln(5*e^7)simplify

ln (5 \cdot e^{7})

simplify-log_{10}(2.8*10^{-8})simplify

- lo g_{10} (2.8 \cdot 1 0^{- 8})

simplify ln(103/80)simplify

ln (\frac{103}{80})

simplify ln((1-10^{-5})600)simplify

ln ((1 - 1 0^{- 5}) 600)

simplify ln(6)+4ln(3)simplify

ln (6) + 4 ln (3)

Frequently Asked Questions (FAQ)

What is ln(200/100) ?
The solution to ln(200/100) is ln(200)-2ln(10)