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Popular >

e-e^{-2x}=1

Solution

e - e^{- 2 x} = 1

Solution

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

+1

Decimal Notation

x = - 0.27066 \dots

Solution steps

e - e^{- 2 x} = 1

Move

e

to the right side

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

Divide both sides by

- 1

e^{- 2 x} = e - 1

Apply exponent rules

- 2 x = ln (e - 1)

Solve

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

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

Popular Examples

e^{x} = 2 e^{- x}

solvefor x,xy+e^{xy}=0 solve for

x, x y + e^{x y} = 0

9^{x} = \frac{1}{3}

e^{-x^2}=e^{-3x-4}

e^{- x^{2}} = e^{- 3 x - 4}

e^x+e^{2x}=e^{3x}

e^{x} + e^{2 x} = e^{3 x}

Frequently Asked Questions (FAQ)

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