What is the answer to 0.19=0.5-0.4e^{(-3t)/(25)} ?

The answer to 0.19=0.5-0.4e^{(-3t)/(25)} is t=-(25ln(31/40))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0.19=0.5-0.4e^{(-3t)/(25)}

0.19 = 0.5 - 0.4 e^{\frac{- 3 t}{25}}

t = - \frac{25 ln ( \frac{31}{40} )}{3}

Decimal Notation

t = 2.12410 \dots

Solution steps

0.19 = 0.5 - 0.4 e^{\frac{- 3 t}{25}}

Switch sides

0.5 - 0.4 e^{\frac{- 3 t}{25}} = 0.19

Multiply both sides by

100

50 - 40 e^{\frac{- 3 t}{25}} = 19

Move

50

to the right side

- 40 e^{\frac{- 3 t}{25}} = - 31

Divide both sides by

- 40

e^{\frac{- 3 t}{25}} = \frac{31}{40}

Apply exponent rules

\frac{- 3 t}{25} = ln (\frac{31}{40})

Solve

\frac{- 3 t}{25} = ln (\frac{31}{40}) : t = - \frac{25 ln ( \frac{31}{40} )}{3}

t = - \frac{25 ln ( \frac{31}{40} )}{3}

e^{l n (w^{2} + 1)} = 5

\frac{3}{3 ^{- k}} = 927

2 \cdot 3^{x} + 6 = 20

x, f^{- 1} (x) = 3 + e^{2 - x}

3 x (1 0^{x}) + 1 0^{x} = 0

What is the answer to 0.19=0.5-0.4e^{(-3t)/(25)} ?
The answer to 0.19=0.5-0.4e^{(-3t)/(25)} is t=-(25ln(31/40))/3