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Popular >

70=80(1-e^{-0.02t})

Solution

70 = 80 (1 - e^{- 0.02 t})

Solution

t = \frac{3 ln ( 2 )}{0.02}

+1

Decimal

t = 103.97207 \dots

Solution steps

70 = 80 (1 - e^{- 0.02 t})

Switch sides

80 (1 - e^{- 0.02 t}) = 70

Divide both sides by

80

1 - e^{- 0.02 t} = \frac{7}{8}

Move

1

to the right side

- e^{- 0.02 t} = - \frac{1}{8}

Divide both sides by

- 1

e^{- 0.02 t} = \frac{1}{8}

Apply exponent rules

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

Solve

- 0.02 t = ln (\frac{1}{8}) : t = \frac{3 ln ( 2 )}{0.02}

t = \frac{3 ln ( 2 )}{0.02}

Graph

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Frequently Asked Questions (FAQ)

What is the answer to 70=80(1-e^{-0.02t}) ?
The answer to 70=80(1-e^{-0.02t}) is t=(3ln(2))/(0.02)