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Popular >

inverse of f(x)=4^{x-1}

Solution

inverse

f (x) = 4^{x - 1}

Solution

\frac{ln ( x )}{2 ln ( 2 )} + 1

Solution steps

y = 4^{x - 1}

Replace

x

with

y

x = 4^{y - 1}

Solve for

y, x = 4^{y - 1}

\frac{ln ( x )}{2 ln ( 2 )} + 1

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=4^{x-1} ?
The inverse of f(x)=4^{x-1} is (ln(x))/(2ln(2))+1