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Popular >

2e^x-9e^x+4=0

Solution

2 e^{x} - 9 e^{x} + 4 = 0

Solution

x = ln (\frac{4}{7})

+1

Decimal Notation

x = - 0.55961 \dots

Solution steps

2 e^{x} - 9 e^{x} + 4 = 0

Add similar elements:

2 e^{x} - 9 e^{x} = - 7 e^{x}

- 7 e^{x} + 4 = 0

Move

4

to the right side

- 7 e^{x} = - 4

Divide both sides by

- 7

e^{x} = \frac{4}{7}

Apply exponent rules

x = ln (\frac{4}{7})

Popular Examples

e^{x} = 70

2^{x - 2} + 1 = x

3e^{0.007x}=2.4e^{0.06x}

3 e^{0.007 x} = 2.4 e^{0.06 x}

e^{4x}e^{-2x+1}=2

e^{4 x} e^{- 2 x + 1} = 2

5^{2 x - 1} = 0

Frequently Asked Questions (FAQ)

What is the answer to 2e^x-9e^x+4=0 ?
The answer to 2e^x-9e^x+4=0 is x=ln(4/7)