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Popular >

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

Solution

inverse

f (x) = 2^{x - 2}

Solution

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

Solution steps

y = 2^{x - 2}

Replace

x

with

y

x = 2^{y - 2}

Solve for

y, x = 2^{y - 2}

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

Graph

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Frequently Asked Questions (FAQ)

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