en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(y/(1-y))

Solution

simplify

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

Solution

ln (y) - ln (1 - y)

Solution steps

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

Apply log rule:

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

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

= ln (y) - ln (- y + 1)

Popular Examples

simplify ln((x^2-3x+2)/(x+1))simplify

ln (\frac{x ^{2} - 3 x + 2}{x + 1})

simplify 6log_{3}(u)+3log_{3}(v)simplify

6 lo g_{3} (u) + 3 lo g_{3} (v)

simplify-2log_{e}(1/4)simplify

- 2 lo g_{e} (\frac{1}{4})

simplify ln((sqrt(3))/1)simplify

ln (\frac{3}{1})

simplify ln(2X)simplify

ln (2 X)

Frequently Asked Questions (FAQ)

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