en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((sqrt(x-1))/x)

Solution

simplify

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

Solution

ln (x - 1) - ln (x)

Solution steps

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

Apply log rule:

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

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

= ln (x - 1) - ln (x)

Popular Examples

simplify-log_{10}(1.5*10^{-11})simplify

- lo g_{10} (1.5 \cdot 1 0^{- 11})

simplify ln(2.2)+(ln(4.3))+ln(6.15)simplify

ln (2.2) + (ln (4.3)) + ln (6.15)

simplify ln((x^2-6x-27)/(x-7))simplify

ln (\frac{x ^{2} - 6 x - 27}{x - 7})

simplify ln(((2-y))/((1-y)))simplify

ln (\frac{( 2 - y )}{( 1 - y )})

simplify ln(xy^8z^9)simplify

ln (x y^{8} z^{9})

Frequently Asked Questions (FAQ)

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