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Popular >

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

Solution

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

Solution

x = \frac{ln ( 3 )}{0.2}

+1

Solution steps

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

Move

40

to the right side

30 e^{- 0.2 x} = 10

Divide both sides by

30

e^{- 0.2 x} = \frac{1}{3}

Apply exponent rules

- 0.2 x = ln (\frac{1}{3})

Solve

- 0.2 x = ln (\frac{1}{3}) : x = \frac{ln ( 3 )}{0.2}

x = \frac{ln ( 3 )}{0.2}

Popular Examples

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

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

2 (1.24)^{x} + 1 = 14

e^{x} + 2 = 3 e^{- x}

7^{4x}=31^{3x+4}

7^{4 x} = 3 1^{3 x + 4}

2^{x} = 162

Frequently Asked Questions (FAQ)

What is the answer to 40+30e^{-0.2x}=50 ?
The answer to 40+30e^{-0.2x}=50 is x=(ln(3))/(0.2)