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Popular >

-e^{-x}+3e^{-3x}=0

Solution

- e^{- x} + 3 e^{- 3 x} = 0

Solution

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

+1

Decimal Notation

x = 0.54930 \dots

Solution steps

- e^{- x} + 3 e^{- 3 x} = 0

Add

e^{- x}

to both sides

- e^{- x} + 3 e^{- 3 x} + e^{- x} = 0 + e^{- x}

Simplify

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

Apply exponent rules

ln (3) - 3 x = - x

Solve

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

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

Popular Examples

4 \cdot 3^{x} = 36

3^{2x}+9*3^{-2x}=10

3^{2 x} + 9 \cdot 3^{- 2 x} = 10

3^{2 x - 1} = 2 7^{x}

e^{6 x} = 13

solvefor x,h=a^{-x}solve for

x, h = a^{- x}

Frequently Asked Questions (FAQ)

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