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Popular >

2e^{-0.2x}-2=8

Solution

2 e^{- 0.2 x} - 2 = 8

Solution

x = - \frac{ln ( 5 )}{0.2}

+1

Decimal Notation

x = - 8.04718 \dots

Solution steps

2 e^{- 0.2 x} - 2 = 8

Move

2

to the right side

2 e^{- 0.2 x} = 10

Divide both sides by

2

e^{- 0.2 x} = 5

Apply exponent rules

- 0.2 x = ln (5)

Solve

- 0.2 x = ln (5) : x = - \frac{ln ( 5 )}{0.2}

x = - \frac{ln ( 5 )}{0.2}

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Frequently Asked Questions (FAQ)

What is the answer to 2e^{-0.2x}-2=8 ?
The answer to 2e^{-0.2x}-2=8 is x=-(ln(5))/(0.2)