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Popular >

3xe^x-8e^x=0

Solution

3 x e^{x} - 8 e^{x} = 0

Solution

x = \frac{8}{3}

+1

Decimal Notation

x = 2.66666 \dots

Solution steps

3 x e^{x} - 8 e^{x} = 0

Factor

e^{x} (3 x - 8) = 0

Using the Zero Factor Principle:

If

ab = 0

then

a = 0

or

b = 0

e^{x} = 0 or 3 x - 8 = 0

Solve

e^{x} = 0 :

No Solution for

x \in R

Solve

3 x - 8 = 0 : x = \frac{8}{3}

x = \frac{8}{3}

Popular Examples

e^{2x}+2e^x=+24

e^{2 x} + 2 e^{x} = + 24

3^{x^2+6x}=9^{-4}

3^{x^{2} + 6 x} = 9^{- 4}

6^{3 x - 2} = 4 \cdot 2^{x}

4^{a} + 4^{a - 2} = 34

8^{x} = 12

Frequently Asked Questions (FAQ)

What is the answer to 3xe^x-8e^x=0 ?
The answer to 3xe^x-8e^x=0 is x= 8/3