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Popular >

1=100e^{-t/(400000)}

Solution

1 = 100 e^{- \frac{t}{400000}}

Solution

t = 800000 ln (10)

+1

Decimal Notation

t = 1842068.07439 \dots

Solution steps

1 = 100 e^{- \frac{t}{400000}}

Switch sides

100 e^{- \frac{t}{400000}} = 1

Divide both sides by

100

e^{- \frac{t}{400000}} = \frac{1}{100}

Apply exponent rules

- \frac{t}{400000} = ln (\frac{1}{100})

Solve

- \frac{t}{400000} = ln (\frac{1}{100}) : t = 800000 ln (10)

t = 800000 ln (10)

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Frequently Asked Questions (FAQ)

What is the answer to 1=100e^{-t/(400000)} ?
The answer to 1=100e^{-t/(400000)} is t=800000ln(10)