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Popular >

100=400e^{-0.00244t}

Solution

100 = 400 e^{- 0.00244 t}

Solution

t = \frac{2 ln ( 2 )}{0.00244}

+1

Decimal Notation

t = 568.15342 \dots

Solution steps

100 = 400 e^{- 0.00244 t}

Switch sides

400 e^{- 0.00244 t} = 100

Divide both sides by

400

e^{- 0.00244 t} = \frac{1}{4}

Apply exponent rules

- 0.00244 t = ln (\frac{1}{4})

Solve

- 0.00244 t = ln (\frac{1}{4}) : t = \frac{2 ln ( 2 )}{0.00244}

t = \frac{2 ln ( 2 )}{0.00244}

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Frequently Asked Questions (FAQ)

What is the answer to 100=400e^{-0.00244t} ?
The answer to 100=400e^{-0.00244t} is t=(2ln(2))/(0.00244)