What is the inverse of f(x)=f(x)= 1/2 (4)^x ?

The inverse of f(x)=f(x)= 1/2 (4)^x is (ln(2x))/(2ln(2))

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inverse of f(x)=f(x)= 1/2 (4)^x

inverse

f (x) = f (x) = \frac{1}{2} (4)^{x}

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

Solution steps

y = \frac{1}{2} \cdot 4^{x}

Replace

x

with

y

x = \frac{1}{2} \cdot 4^{y}

Solve for

y, x = \frac{1}{2} 4^{y}

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

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