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Popular >

11(3+e^{-x})^{-1}=2

Solution

11 (3 + e^{- x})^{- 1} = 2

Solution

x = - ln (\frac{5}{2})

+1

Decimal Notation

x = - 0.91629 \dots

Solution steps

11 (3 + e^{- x})^{- 1} = 2

Rewrite the equation with

e^{- x} = u

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

Solve

11 (3 + u)^{- 1} = 2 : u = \frac{5}{2}

u = \frac{5}{2}

Substitute back

u = e^{- x},

solve for

x

Solve

e^{- x} = \frac{5}{2} : x = - ln (\frac{5}{2})

x = - ln (\frac{5}{2})

Popular Examples

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

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

8^{(x + 3)} = 32

2^{x - 1} = 256

62 = 75 e^{- 10 k}

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

Frequently Asked Questions (FAQ)

What is the answer to 11(3+e^{-x})^{-1}=2 ?
The answer to 11(3+e^{-x})^{-1}=2 is x=-ln(5/2)