en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

11(3+e^{-x})^{-1}=3

Solution

11 (3 + e^{- x})^{- 1} = 3

Solution

x = - ln (\frac{2}{3})

+1

Decimal Notation

x = 0.40546 \dots

Solution steps

11 (3 + e^{- x})^{- 1} = 3

Rewrite the equation with

e^{- x} = u

11 (3 + u)^{- 1} = 3

Solve

11 (3 + u)^{- 1} = 3 : u = \frac{2}{3}

u = \frac{2}{3}

Substitute back

u = e^{- x},

solve for

x

Solve

e^{- x} = \frac{2}{3} : x = - ln (\frac{2}{3})

x = - ln (\frac{2}{3})

Popular Examples

8^{(x + 3)} = 32

2^{x - 1} = 256

62 = 75 e^{- 10 k}

3 e^{0} - 2 e^{y} = 0

4^{\frac{1}{x}} = \frac{1}{2}

Frequently Asked Questions (FAQ)

What is the answer to 11(3+e^{-x})^{-1}=3 ?
The answer to 11(3+e^{-x})^{-1}=3 is x=-ln(2/3)