en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(120/100)

Solution

simplify

ln (\frac{120}{100})

Solution

ln (120) - 2 ln (10)

+1

Decimal Notation

0.18232 \dots

Solution steps

ln (\frac{120}{100})

Apply log rule:

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

ln (\frac{120}{100}) = ln (120) - ln (100)

= ln (120) - ln (100)

ln (100) = 2 ln (10)

= ln (120) - 2 ln (10)

Popular Examples

simplify log_{7}(35)+log_{7}(5)simplify

lo g_{7} (35) + lo g_{7} (5)

simplify ln((ln(x))/x)simplify

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

simplify log_{5}(8)+log_{5}(11)simplify

lo g_{5} (8) + lo g_{5} (11)

simplify 2log_{10}(m)+3log_{10}(n)-4log_{10}(y)simplify

2 lo g_{10} (m) + 3 lo g_{10} (n) - 4 lo g_{10} (y)

simplify log_{10}((100)/(sqrt(x)*y^4))simplify

lo g_{10} (\frac{100}{x \cdot y ^{4}})

Frequently Asked Questions (FAQ)

What is ln(120/100) ?
The solution to ln(120/100) is ln(120)-2ln(10)