What is the inverse of f(x)=(2)^{-x/a} ?

The inverse of f(x)=(2)^{-x/a} is -(aln(x))/(ln(2))

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inverse of f(x)=(2)^{-x/a}

inverse

f (x) = (2)^{- \frac{x}{a}}

- \frac{a ln ( x )}{ln ( 2 )}

Solution steps

y = 2^{- \frac{x}{a}}

Replace

x

with

y

x = 2^{- \frac{y}{a}}

Solve for

y, x = 2^{- \frac{y}{a}}

- \frac{a ln ( x )}{ln ( 2 )}

d (3 - 1) - 14

y = 1000 \cdot 450 x

3 x^{4} + 5 x^{2} + 6

- ln (x - 150)

\frac{x}{3 - 8 x}

What is the inverse of f(x)=(2)^{-x/a} ?
The inverse of f(x)=(2)^{-x/a} is -(aln(x))/(ln(2))