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Popular >

50=400e^{-0.0115t}

Solution

50 = 400 e^{- 0.0115 t}

Solution

t = \frac{3 ln ( 2 )}{0.0115}

+1

Decimal Notation

t = 180.82100 \dots

Solution steps

50 = 400 e^{- 0.0115 t}

Switch sides

400 e^{- 0.0115 t} = 50

Divide both sides by

400

e^{- 0.0115 t} = \frac{1}{8}

Apply exponent rules

- 0.0115 t = ln (\frac{1}{8})

Solve

- 0.0115 t = ln (\frac{1}{8}) : t = \frac{3 ln ( 2 )}{0.0115}

t = \frac{3 ln ( 2 )}{0.0115}

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Frequently Asked Questions (FAQ)

What is the answer to 50=400e^{-0.0115t} ?
The answer to 50=400e^{-0.0115t} is t=(3ln(2))/(0.0115)