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Popular >

2000=4000e^{-0.1x}

Solution

2000 = 4000 e^{- 0.1 x}

Solution

x = \frac{ln ( 2 )}{0.1}

+1

Decimal Notation

x = 6.93147 \dots

Solution steps

2000 = 4000 e^{- 0.1 x}

Switch sides

4000 e^{- 0.1 x} = 2000

Divide both sides by

4000

e^{- 0.1 x} = \frac{1}{2}

Apply exponent rules

- 0.1 x = ln (\frac{1}{2})

Solve

- 0.1 x = ln (\frac{1}{2}) : x = \frac{ln ( 2 )}{0.1}

x = \frac{ln ( 2 )}{0.1}

Popular Examples

2^x+1/(2^{x-2)}=5

2^{x} + \frac{1}{2 ^{x - 2}} = 5

14*4^{x-1}=2*7^{x-1}

14 \cdot 4^{x - 1} = 2 \cdot 7^{x - 1}

4^{x} - 2^{x} = 0

4^{x} - 2^{x} = 6

solvefor x,y=4^xy solve for

x, y = 4^{x} y

Frequently Asked Questions (FAQ)

What is the answer to 2000=4000e^{-0.1x} ?
The answer to 2000=4000e^{-0.1x} is x=(ln(2))/(0.1)