What is the answer to 12=200(1-e^{-1/800 t}) ?

The answer to 12=200(1-e^{-1/800 t}) is t=-800ln(47/50)

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12=200(1-e^{-1/800 t})

12 = 200 (1 - e^{- \frac{1}{800} t})

t = - 800 ln (\frac{47}{50})

Solution steps

12 = 200 (1 - e^{- \frac{1}{800} t})

Switch sides

200 (1 - e^{- \frac{1}{800} t}) = 12

Divide both sides by

200

1 - e^{- \frac{1}{800} t} = \frac{3}{50}

Move

1

to the right side

- e^{- \frac{1}{800} t} = - \frac{47}{50}

Divide both sides by

- 1

e^{- \frac{1}{800} t} = \frac{47}{50}

Apply exponent rules

- \frac{1}{800} t = ln (\frac{47}{50})

Solve

- \frac{1}{800} t = ln (\frac{47}{50}) : t = - 800 ln (\frac{47}{50})

t = - 800 ln (\frac{47}{50})

7 = 5 e^{0.2 x}

731093 = 525600 e^{0.03 t}

2^{2 x} + 2^{x} - 6 = 0

8^{(x + 1)} + 8^{(1 - x)} = 20

1 6^{x} = 2

What is the answer to 12=200(1-e^{-1/800 t}) ?
The answer to 12=200(1-e^{-1/800 t}) is t=-800ln(47/50)