en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^x=x-2

Solution

e^{x} = x - 2

Solution

No Solution for x \in R

Solution steps

e^{x} = x - 2

Prepare

e^{x} = x - 2

for Lambert form:

1 = (x - 2) e^{- x}

Rewrite the equation with

- x + 2 = u

and

x = - u + 2

1 = ((- u + 2) - 2) e^{- (- u + 2)}

Simplify

1 = - e^{u - 2} u

Rewrite

1 = - e^{u - 2} u

in Lambert form:

e^{u} u = - e^{2}

Solve

e^{u} u = - e^{2} :

No Solution for

u \in R

No Solution for x \in R

Popular Examples

solvefor x,2^{x+1}=\sqrt[y]{4}solve for

solvefor x,ln(y)=e^x solve for

x, ln (y) = e^{x}

5^{x} \cdot 3^{x} = 3375

2 e^{x} = 0

solvefor x,e^{2x}-7e^x+6=0 solve for

x, e^{2 x} - 7 e^{x} + 6 = 0

Frequently Asked Questions (FAQ)

What is the answer to e^x=x-2 ?
The answer to e^x=x-2 is No Solution for x\in\mathbb{R}