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-1)

Solution

simplify

ln (x) - ln (x - 1)

Solution

ln (\frac{x}{x - 1})

Solution steps

ln (x) - ln (x - 1)

Apply log rule:

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

ln (x) - ln (x - 1) = ln (\frac{x}{x - 1})

= ln (\frac{x}{x - 1})

Popular Examples

expand log_{10}((2^4)/5)expand

lo g_{10} (\frac{2 ^{4}}{5})

simplify log_{10}(a)+1/2 log_{10}(b)-2log_{10}(c)simplify

lo g_{10} (a) + \frac{1}{2} lo g_{10} (b) - 2 lo g_{10} (c)

simplify log_{b}(yz^4)simplify

lo g_{b} (y z^{4})

expand log_{5}((a\sqrt[3]{b})/(c^4))expand

simplify ln(y)+ln(3)simplify

ln (y) + ln (3)

Frequently Asked Questions (FAQ)

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