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Popular Functions >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

Popular Examples

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domain of (x^3+x^2-6x)/(4x^2+4x-8)

Frequently Asked Questions (FAQ)

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