en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

e^{-x}=1-e^{-x}

Solution

e^{- x} = 1 - e^{- x}

Solution

x = ln (2)

+1

Decimal Notation

x = 0.69314 \dots

Solution steps

e^{- x} = 1 - e^{- x}

Move

e^{- x}

to the left side

2 e^{- x} = 1

Divide both sides by

2

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

Apply exponent rules

- x = ln (\frac{1}{2})

Solve

- x = ln (\frac{1}{2}) : x = ln (2)

x = ln (2)

Popular Examples

2^{2 x} - 2^{x} - 2 = 0

8^{x + 4} = 2^{3}

3\times 2^{x+2}-5\times 2^{x-1}=76

3 \times 2^{x + 2} - 5 \times 2^{x - 1} = 76

B = 200 e^{0.7 t}

roots e^{kx}roots

e^{k x}

Frequently Asked Questions (FAQ)

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