en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(1/(2-x))

Solution

simplify

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

Solution

- ln (- x + 2)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- x + 2)

0 - ln (2 - x) = - ln (2 - x)

= - ln (- x + 2)

Popular Examples

simplify ln(7)-ln(13/3)simplify

ln (7) - ln (\frac{13}{3})

simplify 4log_{10}(x)-2log_{10}(y)simplify

4 lo g_{10} (x) - 2 lo g_{10} (y)

simplify ln(x^{13}sqrt(3-x))simplify

ln (x^{13} 3 - x)

simplify log_{10}((\sqrt[3]{z})/(xy^2))simplify

simplify ln((e^4)/(14))simplify

ln (\frac{e ^{4}}{14})

Frequently Asked Questions (FAQ)

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