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Popular >

0.1=320e^{-3.1t}

Solution

0.1 = 320 e^{- 3.1 t}

Solution

t = - \frac{ln ( 0.0003125 )}{3.1}

+1

Decimal Notation

t = 2.60351 \dots

Solution steps

0.1 = 320 e^{- 3.1 t}

Switch sides

320 e^{- 3.1 t} = 0.1

Divide both sides by

320

e^{- 3.1 t} = 0.0003125

Apply exponent rules

- 3.1 t = ln (0.0003125)

Solve

- 3.1 t = ln (0.0003125) : t = - \frac{ln ( 0.0003125 )}{3.1}

t = - \frac{ln ( 0.0003125 )}{3.1}

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Frequently Asked Questions (FAQ)

What is the answer to 0.1=320e^{-3.1t} ?
The answer to 0.1=320e^{-3.1t} is t=-(ln(0.0003125))/(3.1)