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Popular >

inverse of f(x)=0.5(4)^x

Solution

inverse

f (x) = 0.5 (4)^{x}

Solution

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

Solution steps

y = 0.5 \cdot 4^{x}

Replace

x

with

y

x = 0.5 \cdot 4^{y}

Solve for

y, x = 0.5 4^{y}

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

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=0.5(4)^x ?
The inverse of f(x)=0.5(4)^x is (ln(2x))/(2ln(2))