en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(4.27*10^{-20})

Solution

simplify

ln (4.27 \cdot 1 0^{- 20})

Solution

ln (4.27) - 20 ln (10)

+1

Decimal Notation

- 44.60008 \dots

Solution steps

ln (4.27 \cdot 1 0^{- 20})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (4.27 \cdot 1 0^{- 20}) = ln (4.27) + ln (1 0^{- 20})

= ln (4.27) + ln (1 0^{- 20})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (1 0^{- 20}) = - 20 ln (10)

= ln (4.27) - 20 ln (10)

Popular Examples

simplify ln((10^{-6})/2)simplify

ln (\frac{1 0 ^{- 6}}{2})

expand log_{10}(2xy)expand

lo g_{10} (2 x y)

simplify ln(1/(Θ^n))simplify

ln (\frac{1}{Θ ^{n}})

simplify ln(70/30)simplify

ln (\frac{70}{30})

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

ln (x - 1) - 2 ln (x + 1)

Frequently Asked Questions (FAQ)

What is ln(4.27*10^{-20}) ?
The solution to ln(4.27*10^{-20}) is ln(4.27)-20ln(10)