en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((100.2)/(100))

Solution

simplify

ln (\frac{100.2}{100})

Solution

ln (100.2) - 2 ln (10)

+1

Decimal Notation

0.00199 \dots

Solution steps

ln (\frac{100.2}{100})

Apply log rule:

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

ln (\frac{100.2}{100}) = ln (100.2) - ln (100)

= ln (100.2) - ln (100)

ln (100) = 2 ln (10)

= ln (100.2) - 2 ln (10)

Popular Examples

expand log_{3}(x^{14}\sqrt[5]{y^3})expand

simplify 0.23*ln(0.23)+5.55ln(0.76)simplify

0.23 \cdot ln (0.23) + 5.55 ln (0.76)

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

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

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

ln (2) - ln (2 + 1)

simplify ln(4.4*10^{15})simplify

ln (4.4 \cdot 1 0^{15})

Frequently Asked Questions (FAQ)

What is ln((100.2)/(100)) ?
The solution to ln((100.2)/(100)) is ln(100.2)-2ln(10)