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Popular >

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

Solution

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

Solution

x = \frac{1}{3}

+1

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Factor

e^{- 3 x} (1 - 3 x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- 3 x} = 0 or 1 - 3 x = 0

Solve

e^{- 3 x} = 0 :

No Solution for

x \in R

Solve

1 - 3 x = 0 : x = \frac{1}{3}

x = \frac{1}{3}

Popular Examples

12 8^{x} = 25 6^{x}

solvefor y, 1/(2^{-3)}=x^y solve for

y, \frac{1}{2 ^{- 3}} = x^{y}

2 5^{2 x} = 125

9e^{9x}-e^{-x}=0

9 e^{9 x} - e^{- x} = 0

3^{2x+1}-10\times 3^x+3=0

3^{2 x + 1} - 10 \times 3^{x} + 3 = 0

Frequently Asked Questions (FAQ)

What is the answer to e^{-3x}-3e^{-3x}x=0 ?
The answer to e^{-3x}-3e^{-3x}x=0 is x= 1/3