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Popular >

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

Solution

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

Solution

x = - \frac{ln ( 2 )}{3}

+1

Decimal

x = - 0.23104 \dots

Solution steps

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

Add

e^{- x}

to both sides

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

Simplify

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

Apply exponent rules

ln (2) + 2 x = - x

Solve

ln (2) + 2 x = - x : x = - \frac{ln ( 2 )}{3}

x = - \frac{ln ( 2 )}{3}

Graph

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e^{x + 7} = 5

100^{x+5}=10^{x^2-x+12}

10 0^{x + 5} = 1 0^{x^{2} - x + 12}

27^{2x}=3^{x-7}

2 7^{2 x} = 3^{x - 7}

Frequently Asked Questions (FAQ)

What is the answer to -e^{-x}+2e^{2x}=0 ?
The answer to -e^{-x}+2e^{2x}=0 is x=-(ln(2))/3