What is the inverse of (6000)/(5+1995e^{-0.75x)} ?

The inverse of (6000)/(5+1995e^{-0.75x)} is -(ln(\frac{1200-x)/(399x))}{0.75}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of (6000)/(5+1995e^{-0.75x)}

inverse

- \frac{ln ( \frac{1200 - x}{399 x} )}{0.75}

Solution steps

y = \frac{6000}{5 + 1995 e ^{- 0.75 x}}

Replace

x

with

y

x = \frac{6000}{5 + 1995 e ^{- 0.75 y}}

Solve for

y, x = \frac{6000}{5 + 1995 e ^{- 0.75 y}}

- \frac{ln ( \frac{1200 - x}{399 x} )}{0.75}

What is the inverse of (6000)/(5+1995e^{-0.75x)} ?
The inverse of (6000)/(5+1995e^{-0.75x)} is -(ln(\frac{1200-x)/(399x))}{0.75}