en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln|x|-ln|x-n|

Solution

simplify

ln ∣ x ∣ - ln ∣ x - n ∣

Solution

ln (\frac{∣ x ∣}{∣ x - n ∣})

Solution steps

ln ∣ x ∣ - ln ∣ x - n ∣

Apply log rule:

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

ln ∣ x ∣ - ln ∣ x - n ∣ = ln (\frac{∣ x ∣}{∣ x - n ∣})

= ln (\frac{∣ x ∣}{∣ x - n ∣})

Popular Examples

expand log_{6}(3x^4)expand

lo g_{6} (3 x^{4})

simplify-1.014(log_{10}(0.16)-log_{10}(x))simplify

- 1.014 (lo g_{10} (0.16) - lo g_{10} (x))

simplify 2ln(6.3)-2ln(2.1)simplify

2 ln (6.3) - 2 ln (2.1)

simplify ln(A^1*sqrt(B^3))simplify

ln (A^{1} \cdot B^{3})

simplify 1/9 ln(x-15)-1/9 ln(x-6)simplify

\frac{1}{9} ln (x - 15) - \frac{1}{9} ln (x - 6)

Frequently Asked Questions (FAQ)

What is ln|x|-ln|x-n| ?
The solution to ln|x|-ln|x-n| is ln((|x|)/(|x-n|))