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Popular >

inverse of 1-e^{-x/a}

Solution

inverse

1 - e^{- \frac{x}{a}}

Solution

- a ln (1 - x)

Solution steps

y = 1 - e^{- \frac{x}{a}}

Replace

x

with

y

x = 1 - e^{- \frac{y}{a}}

Solve for

y, x = 1 - e^{- \frac{y}{a}}

- a ln (1 - x)

Popular Examples

inverse of f(x)=-2(20)+100 inverse

f (x) = - 2 (20) + 100

inverse of ((3-2x))/(2x-5)inverse

\frac{( 3 - 2 x )}{2 x - 5}

inverse of f(x)=(11)/(x+4)inverse

f (x) = \frac{11}{x + 4}

inverse of x^{(1/5)}-2 inverse

x^{(\frac{1}{5})} - 2

inverse of f(x)=2x(1-x)inverse

f (x) = 2 x (1 - x)

Frequently Asked Questions (FAQ)

What is the inverse of 1-e^{-x/a} ?
The inverse of 1-e^{-x/a} is -aln(1-x)