en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(5/100)

Solution

simplify

ln (\frac{5}{100})

Solution

ln (5) - 2 ln (10)

+1

Decimal Notation

- 2.99573 \dots

Solution steps

ln (\frac{5}{100})

Apply log rule:

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

ln (\frac{5}{100}) = ln (5) - ln (100)

= ln (5) - ln (100)

ln (100) = 2 ln (10)

= ln (5) - 2 ln (10)

Popular Examples

expand log_{10}(log_{10}(100000^{200x}))expand

lo g_{10} (lo g_{10} (10000 0^{200 x}))

simplify (v-ln(y)+ln(vy))/(v^2)simplify

\frac{v - ln ( y ) + ln ( v y )}{v ^{2}}

simplify log_{3}(7)+log_{3}(2)simplify

lo g_{3} (7) + lo g_{3} (2)

simplify log_{10}(zy^7)simplify

lo g_{10} (z y^{7})

simplify log_{3}((sqrt(y))/(27))simplify

lo g_{3} (\frac{y}{27})

Frequently Asked Questions (FAQ)

What is ln(5/100) ?
The solution to ln(5/100) is ln(5)-2ln(10)