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Popular >

170=180(1-e^{-0.5t})

Solution

170 = 180 (1 - e^{- 0.5 t})

Solution

t = \frac{ln ( 18 )}{0.5}

+1

Decimal Notation

t = 5.78074 \dots

Solution steps

170 = 180 (1 - e^{- 0.5 t})

Switch sides

180 (1 - e^{- 0.5 t}) = 170

Divide both sides by

180

1 - e^{- 0.5 t} = \frac{17}{18}

Move

1

to the right side

- e^{- 0.5 t} = - \frac{1}{18}

Divide both sides by

- 1

e^{- 0.5 t} = \frac{1}{18}

Apply exponent rules

- 0.5 t = ln (\frac{1}{18})

Solve

- 0.5 t = ln (\frac{1}{18}) : t = \frac{ln ( 18 )}{0.5}

t = \frac{ln ( 18 )}{0.5}

Popular Examples

10^{(x^2-1)/(x+1)}=10

1 0^{\frac{x ^{2} - 1}{x + 1}} = 10

3^{2-5x}=8(9^{x-1})

3^{2 - 5 x} = 8 (9^{x - 1})

e^{2x}-e^x-132=0

e^{2 x} - e^{x} - 132 = 0

83 = 1 1^{x}

15000=2370.56e^{0.04x}

15000 = 2370.56 e^{0.04 x}

Frequently Asked Questions (FAQ)

What is the answer to 170=180(1-e^{-0.5t}) ?
The answer to 170=180(1-e^{-0.5t}) is t=(ln(18))/(0.5)