What is the inverse of ln((-x+2)/(x+2)) ?

The inverse of ln((-x+2)/(x+2)) is (2-2e^x)/(e^x+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of ln((-x+2)/(x+2))

inverse

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

\frac{2 - 2 e ^{x}}{e ^{x} + 1}

Solution steps

y = ln (\frac{- x + 2}{x + 2})

Replace

x

with

y

x = ln (\frac{- y + 2}{y + 2})

Solve for

y, x = ln (\frac{- y + 2}{y + 2})

\frac{2 - 2 e ^{x}}{e ^{x} + 1}

What is the inverse of ln((-x+2)/(x+2)) ?
The inverse of ln((-x+2)/(x+2)) is (2-2e^x)/(e^x+1)