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Popular >

40=100e^{-0.03t}

Solution

40 = 100 e^{- 0.03 t}

Solution

t = - \frac{ln ( \frac{2}{5} )}{0.03}

+1

Decimal Notation

t = 30.54302 \dots

Solution steps

40 = 100 e^{- 0.03 t}

Switch sides

100 e^{- 0.03 t} = 40

Divide both sides by

100

e^{- 0.03 t} = \frac{2}{5}

Apply exponent rules

- 0.03 t = ln (\frac{2}{5})

Solve

- 0.03 t = ln (\frac{2}{5}) : t = - \frac{ln ( \frac{2}{5} )}{0.03}

t = - \frac{ln ( \frac{2}{5} )}{0.03}

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solvefor t,y=e^{2t}solve for

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Frequently Asked Questions (FAQ)

What is the answer to 40=100e^{-0.03t} ?
The answer to 40=100e^{-0.03t} is t=-(ln(2/5))/(0.03)