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Popular >

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

Solution

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

Solution

x = - ln (2)

+1

Decimal Notation

x = - 0.69314 \dots

Solution steps

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

Add

2 e^{- x}

to both sides

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

Simplify

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

Apply exponent rules

- 2 x = ln (2) - x

Solve

- 2 x = ln (2) - x : x = - ln (2)

x = - ln (2)

Popular Examples

e^{x} = - 6

2^{n-3}*14^{4n-5}= 1/56

2^{n - 3} \cdot 1 4^{4 n - 5} = \frac{1}{56}

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

3^{x - 1} = (\frac{1}{2})^{x + 3}

(-32}{243}=(\frac{-2)/3)^{2n+1}

\frac{- 32}{243} = (\frac{- 2}{3})^{2 n + 1}

solvefor a,((x^{2a}))/((x^3))=x^3 solve for

a, \frac{( x ^{2 a} )}{( x ^{3} )} = x^{3}

Frequently Asked Questions (FAQ)

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