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

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

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

inverse

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

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

Solution steps

y = \frac{1}{2} (\frac{1}{2})^{x}

Replace

x

with

y

x = \frac{1}{2} (\frac{1}{2})^{y}

Solve for

y, x = \frac{1}{2} (\frac{1}{2})^{y}

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

\frac{7}{s ^{4}}

f (x) = x + 8, x \geq - 8

f (x) = 5 (x + 6)^{3} - 7

lo g_{7} (x^{4})

f (x) = (1 - \frac{1}{0.15 x + 1})

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