What is the inverse of f(x)=30-30e^{-ln(10)*x} ?

The inverse of f(x)=30-30e^{-ln(10)*x} is -(ln(-\frac{x-30)/(30))}{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)=30-30e^{-ln(10)*x}

inverse

f (x) = 30 - 30 e^{- l n (10) \cdot x}

- \frac{ln ( - \frac{x - 30}{30} )}{ln ( 10 )}

Solution steps

y = 30 - 30 e^{- l n (10) x}

Replace

x

with

y

x = 30 - 30 e^{- l n (10) y}

Solve for

y, x = 30 - 30 e^{- l n (10) \cdot y}

- \frac{ln ( - \frac{x - 30}{30} )}{ln ( 10 )}

f (x) = arcsin (\frac{x ^{2} - 1}{x ^{2} + 1})

2 - lo g_{10} (x)

g (x) = 2 lo g_{2} (x) - 2

lo g_{3} (2 x - 4) - 2

f (x) = - 2 (x - 3)^{2} + 4

What is the inverse of f(x)=30-30e^{-ln(10)*x} ?
The inverse of f(x)=30-30e^{-ln(10)*x} is -(ln(-\frac{x-30)/(30))}{ln(10)}