What is the answer to 10000=40000e^{-0.06t} ?

The answer to 10000=40000e^{-0.06t} is t=(2ln(2))/(0.06)

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10000=40000e^{-0.06t}

10000 = 40000 e^{- 0.06 t}

t = \frac{2 ln ( 2 )}{0.06}

Decimal Notation

t = 23.10490 \dots

Solution steps

10000 = 40000 e^{- 0.06 t}

Switch sides

40000 e^{- 0.06 t} = 10000

Divide both sides by

40000

e^{- 0.06 t} = \frac{1}{4}

Apply exponent rules

- 0.06 t = ln (\frac{1}{4})

Solve

- 0.06 t = ln (\frac{1}{4}) : t = \frac{2 ln ( 2 )}{0.06}

t = \frac{2 ln ( 2 )}{0.06}

1 1^{x} = 1 1^{4} \cdot 1 1^{5}

lo g_{3} (7^{5 x}) = 10

3^{x} = e^{x}

(3^{4})^{2} = 3^{p}

243 = 3^{x}

What is the answer to 10000=40000e^{-0.06t} ?
The answer to 10000=40000e^{-0.06t} is t=(2ln(2))/(0.06)