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Popular >

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

Solution

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

Solution

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

+1

Decimal Notation

x = 0.34657 \dots

Solution steps

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

Move

e^{- 2 x}

to the left side

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

Move

\frac{1}{2}

to the right side

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

7^{x - 1} = 49

7*9^x-2*3^{2x+1}=90-3^x

7 \cdot 9^{x} - 2 \cdot 3^{2 x + 1} = 90 - 3^{x}

7^{9x-2}=10^{2x-2}

7^{9 x - 2} = 1 0^{2 x - 2}

4^{3 x} = 8

56 \cdot 2^{2 x} = 22

Frequently Asked Questions (FAQ)

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