What is the answer to ln(2e^x+1)=-1 ?

The answer to ln(2e^x+1)=-1 is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

No Solution for x \in R

Solution steps

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

Rewrite the equation with

e^{x} = u

ln (2 u + 1) = - 1

Solve

ln (2 u + 1) = - 1 : u = \frac{1 - e}{2 e}

u = \frac{1 - e}{2 e}

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = \frac{1 - e}{2 e} :

No Solution for

x \in R

No Solution for x \in R

e^{2 x} - 4 = 0

2^{x + 1} + 5 \cdot 2^{x} = 28

2 7^{2 x} = 9^{x - 3}

e^{x} - 5 e^{- x} + 4 e^{- 3 x} = 0

e^{x} = x

What is the answer to ln(2e^x+1)=-1 ?
The answer to ln(2e^x+1)=-1 is No Solution for x\in\mathbb{R}