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Popular >

30+50e^{-0.2x}=40

Solution

30 + 50 e^{- 0.2 x} = 40

Solution

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

+1

Decimal Notation

x = 8.04718 \dots

Solution steps

30 + 50 e^{- 0.2 x} = 40

Move

30

to the right side

50 e^{- 0.2 x} = 10

Divide both sides by

50

e^{- 0.2 x} = \frac{1}{5}

Apply exponent rules

- 0.2 x = ln (\frac{1}{5})

Solve

- 0.2 x = ln (\frac{1}{5}) : x = \frac{ln ( 5 )}{0.2}

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

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e^{2 x} + 2 e^{2 x} x = 0

1000 e^{- 4 x} = 75

7^{x} - 7^{x - 1} = 6

Frequently Asked Questions (FAQ)

What is the answer to 30+50e^{-0.2x}=40 ?
The answer to 30+50e^{-0.2x}=40 is x=(ln(5))/(0.2)