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Popular >

e^{-5x}-5e^{-5x}x=0

Solution

e^{- 5 x} - 5 e^{- 5 x} x = 0

Solution

x = \frac{1}{5}

+1

Decimal Notation

x = 0.2

Solution steps

e^{- 5 x} - 5 e^{- 5 x} x = 0

Factor

e^{- 5 x} (1 - 5 x) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{- 5 x} = 0 or 1 - 5 x = 0

Solve

e^{- 5 x} = 0 :

No Solution for

x \in R

Solve

1 - 5 x = 0 : x = \frac{1}{5}

x = \frac{1}{5}

Popular Examples

(- 1)^{x} = 1

121\times 11^{x-2}=3\times 11^x-22

121 \times 1 1^{x - 2} = 3 \times 1 1^{x} - 22

8^{- 3} = 2^{x + 5}

4^{4 - x} = \frac{1}{64}

2 = 8^{x}

Frequently Asked Questions (FAQ)

What is the answer to e^{-5x}-5e^{-5x}x=0 ?
The answer to e^{-5x}-5e^{-5x}x=0 is x= 1/5