en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1-e^{(-x)/(50)}=0.25

Solution

1 - e^{\frac{- x}{50}} = 0.25

Solution

x = - 50 ln (0.75)

+1

Solution steps

1 - e^{\frac{- x}{50}} = 0.25

Move

1

to the right side

- e^{\frac{- x}{50}} = - 0.75

Divide both sides by

- 1

e^{\frac{- x}{50}} = 0.75

Apply exponent rules

\frac{- x}{50} = ln (0.75)

Solve

\frac{- x}{50} = ln (0.75) : x = - 50 ln (0.75)

x = - 50 ln (0.75)

Popular Examples

5^{2x}+5^{x+1}-14=0

5^{2 x} + 5^{x + 1} - 14 = 0

2^{x+3}-15=2^{1-x}

2^{x + 3} - 15 = 2^{1 - x}

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

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

36e^{5-x}-6^{2x}=0

36 e^{5 - x} - 6^{2 x} = 0

10^x*10^{x+2}=1000

1 0^{x} \cdot 1 0^{x + 2} = 1000

Frequently Asked Questions (FAQ)

What is the answer to 1-e^{(-x)/(50)}=0.25 ?
The answer to 1-e^{(-x)/(50)}=0.25 is x=-50ln(0.75)