en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1-4e^{-4x}=0

Solution

1 - 4 e^{- 4 x} = 0

Solution

x = \frac{ln ( 2 )}{2}

+1

Solution steps

1 - 4 e^{- 4 x} = 0

Add

4 e^{- 4 x}

to both sides

1 - 4 e^{- 4 x} + 4 e^{- 4 x} = 0 + 4 e^{- 4 x}

Simplify

1 = 4 e^{- 4 x}

Switch sides

4 e^{- 4 x} = 1

Divide both sides by

4

e^{- 4 x} = \frac{1}{4}

Apply exponent rules

- 4 x = ln (\frac{1}{4})

Solve

- 4 x = ln (\frac{1}{4}) : x = \frac{ln ( 2 )}{2}

x = \frac{ln ( 2 )}{2}

Popular Examples

4^{2 x} = 7

7^{1+2x}-50*7^x+7=0

7^{1 + 2 x} - 50 \cdot 7^{x} + 7 = 0

1 3^{x} = 26

e^xx^2(x^2+x-6)=0

e^{x} x^{2} (x^{2} + x - 6) = 0

solvefor t,E^{-18t}= 15/4 solve for

t, E^{- 18 t} = \frac{15}{4}

Frequently Asked Questions (FAQ)

What is the answer to 1-4e^{-4x}=0 ?
The answer to 1-4e^{-4x}=0 is x=(ln(2))/2