en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(n+1)-ln(n)

Solution

simplify

ln (n + 1) - ln (n)

Solution

ln (\frac{n + 1}{n})

Solution steps

ln (n + 1) - ln (n)

Apply log rule:

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

ln (n + 1) - ln (n) = ln (\frac{n + 1}{n})

= ln (\frac{n + 1}{n})

Popular Examples

simplify ln(a+b)+ln(a-b)-8ln(c)simplify

ln (a + b) + ln (a - b) - 8 ln (c)

simplify ln(2e^{2x})simplify

ln (2 e^{2 x})

simplify log_{4}(x^2-36)-5log_{4}(x+6)simplify

lo g_{4} (x^{2} - 36) - 5 lo g_{4} (x + 6)

simplify log_{10}((x^3sqrt(x+1))/((x-2)^2))simplify

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

simplify log_{3}((ab^2)/3)simplify

lo g_{3} (\frac{a b ^{2}}{3})

Frequently Asked Questions (FAQ)

What is ln(n+1)-ln(n) ?
The solution to ln(n+1)-ln(n) is ln((n+1)/n)