What is the inverse of f(x)=20-20*e^{-ln(10)*x} ?

The inverse of f(x)=20-20*e^{-ln(10)*x} is -(ln(-\frac{x-20)/(20))}{ln(10)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=20-20e^{-ln(10)x}

inverse

f (x) = 20 - 20 \cdot e^{- l n (10) \cdot x}

- \frac{ln ( - \frac{x - 20}{20} )}{ln ( 10 )}

Solution steps

y = 20 - 20 e^{- l n (10) x}

Replace

x

with

y

x = 20 - 20 e^{- l n (10) y}

Solve for

y, x = 20 - 20 \cdot e^{- l n (10) \cdot y}

- \frac{ln ( - \frac{x - 20}{20} )}{ln ( 10 )}

f (x) = \frac{5}{7 x - 1}

f (x) = \frac{x + 3}{x + 9}

f (x) = x + 1 + 4

f (x) = x + 1 - 4

f (x) = 1 - x + 10

What is the inverse of f(x)=20-20*e^{-ln(10)*x} ?
The inverse of f(x)=20-20*e^{-ln(10)*x} is -(ln(-\frac{x-20)/(20))}{ln(10)}