en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln|x-y|-ln(u)

Solution

simplify

ln ∣ x - y ∣ - ln (u)

Solution

ln (\frac{∣ x - y ∣}{u})

Solution steps

ln ∣ x - y ∣ - ln (u)

Apply log rule:

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

ln ∣ x - y ∣ - ln (u) = ln (\frac{∣ x - y ∣}{u})

= ln (\frac{∣ x - y ∣}{u})

Popular Examples

simplify log_{10}(x)-3log_{10}(3)-1/2 log_{10}(y)simplify

lo g_{10} (x) - 3 lo g_{10} (3) - \frac{1}{2} lo g_{10} (y)

simplify 50ln(8/3)simplify

50 ln (\frac{8}{3})

simplify 2ln(9)-5ln(3)+ln(4)simplify

2 ln (9) - 5 ln (3) + ln (4)

expand log_{5}(x^3y^2)expand

lo g_{5} (x^{3} y^{2})

simplify ln(10e^{-(2sqrt(10))/5 x})simplify

ln (10 e^{- \frac{2 10}{5} x})

Frequently Asked Questions (FAQ)

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