en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of ((e^x))/(1+5e^x)

Solution

inverse

\frac{( e ^{x} )}{1 + 5 e ^{x}}

Solution

ln (- \frac{x}{5 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 5 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 5 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 5 e ^{y}}

ln (- \frac{x}{5 x - 1})

Popular Examples

inverse of y=sqrt(x)+2 inverse

y = x + 2

parity f(x)=cos(x)parity

f (x) = cos (x)

extreme f(x)=2x^3-15x^2-36x extreme points

f (x) = 2 x^{3} - 15 x^{2} - 36 x

slope of 2y+x-4=0 slope

2 y + x - 4 = 0

simplify (0.11)(12.11)simplify

(0.11) (12.11)

Frequently Asked Questions (FAQ)

What is the inverse of ((e^x))/(1+5e^x) ?
The inverse of ((e^x))/(1+5e^x) is ln(-x/(5x-1))