en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

ln (2 - y) - ln (1 - y)

Solution steps

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

Apply log rule:

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

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

= ln (- y + 2) - ln (- y + 1)

Popular Examples

expand log_{10}(x^3y^5z)expand

lo g_{10} (x^{3} y^{5} z)

log_{10}((log_{10}(x))^5)

lo g_{10} ((lo g_{10} (x))^{5})

simplify ln(xy)-ln(y)simplify

ln (x y) - ln (y)

simplify ln((sqrt(z))/(x^5y))simplify

ln (\frac{z}{x ^{5} y})

simplify ln(8)+3ln(3)simplify

ln (8) + 3 ln (3)

Frequently Asked Questions (FAQ)

What is ln((2-y)/(1-y)) ?
The solution to ln((2-y)/(1-y)) is ln(2-y)-ln(1-y)