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Popular >

1-2e^{-2x}=0

Solution

1 - 2 e^{- 2 x} = 0

Solution

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

+1

Decimal Notation

x = 0.34657 \dots

Solution steps

1 - 2 e^{- 2 x} = 0

Add

2 e^{- 2 x}

to both sides

1 - 2 e^{- 2 x} + 2 e^{- 2 x} = 0 + 2 e^{- 2 x}

Simplify

1 = 2 e^{- 2 x}

Switch sides

2 e^{- 2 x} = 1

Divide both sides by

2

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

Apply exponent rules

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

Solve

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

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

Popular Examples

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y, e^{y} = x

solvefor y,e^{x^2y}=x+y solve for

y, e^{x^{2} y} = x + y

2 7^{x} = 243

2^{(5 x + 2)} = 14

Frequently Asked Questions (FAQ)

What is the answer to 1-2e^{-2x}=0 ?
The answer to 1-2e^{-2x}=0 is x=(ln(2))/2