What is the answer to m=0.9e^{-0.06t} ?

The answer to m=0.9e^{-0.06t} is t=-(ln((10m)/9))/(0.06)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

m=0.9e^{-0.06t}

m = 0.9 e^{- 0.06 t}

t = - \frac{ln ( \frac{10 m}{9} )}{0.06}

Solution steps

m = 0.9 e^{- 0.06 t}

Switch sides

0.9 e^{- 0.06 t} = m

Multiply both sides by

10

9 e^{- 0.06 t} = m \cdot 10

Divide both sides by

9

e^{- 0.06 t} = \frac{m \cdot 10}{9}

Apply exponent rules

- 0.06 t = ln (\frac{m \cdot 10}{9})

Solve

- 0.06 t = ln (\frac{m \cdot 10}{9}) : t = - \frac{ln ( \frac{10 m}{9} )}{0.06}

t = - \frac{ln ( \frac{10 m}{9} )}{0.06}

3^{x - 5} = 2

x, ln (y) = e^{x} + c

\frac{1}{25} = 5^{x}

7 e^{- 0.2 t} = 28

8^{2 x - 1} = 3^{x - 2}

What is the answer to m=0.9e^{-0.06t} ?
The answer to m=0.9e^{-0.06t} is t=-(ln((10m)/9))/(0.06)