What is the answer to 50=(160)/(1+7e^{-0.3t)} ?

The answer to 50=(160)/(1+7e^{-0.3t)} is t=-(ln(11/35))/(0.3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

50=(160)/(1+7e^{-0.3t)}

50 = \frac{160}{1 + 7 e ^{- 0.3 t}}

t = - \frac{ln ( \frac{11}{35} )}{0.3}

Decimal

t = 3.85817 \dots

Solution steps

50 = \frac{160}{1 + 7 e ^{- 0.3 t}}

Multiply both sides by

1 + 7 e^{- 0.3 t}

50 (1 + 7 e^{- 0.3 t}) = \frac{160}{1 + 7 e ^{- 0.3 t}} (1 + 7 e^{- 0.3 t})

Simplify

50 (1 + 7 e^{- 0.3 t}) = 160

Divide both sides by

50

1 + 7 e^{- 0.3 t} = \frac{16}{5}

Move

1

to the right side

7 e^{- 0.3 t} = \frac{11}{5}

Divide both sides by

7

e^{- 0.3 t} = \frac{11}{35}

Apply exponent rules

- 0.3 t = ln (\frac{11}{35})

Solve

- 0.3 t = ln (\frac{11}{35}) : t = - \frac{ln ( \frac{11}{35} )}{0.3}

t = - \frac{ln ( \frac{11}{35} )}{0.3}

Verify Solutions:

t = - \frac{ln ( \frac{11}{35} )}{0.3}

True

The solution is

t = - \frac{ln ( \frac{11}{35} )}{0.3}

x 4 = 2

4^{x} = 8^{x - 5}

x, f (x - 9) = 8^{x}

5^{x^{2} - 2 x} = 125

8^{\frac{1}{2 x + 2}} = \frac{1}{4}

What is the answer to 50=(160)/(1+7e^{-0.3t)} ?
The answer to 50=(160)/(1+7e^{-0.3t)} is t=-(ln(11/35))/(0.3)