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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inverse of f(x)=x^2-6x+5,x<= 3 inverse

f (x) = x^{2} - 6 x + 5, x \leq 3

domain of 3x+7 domain

3 x + 7

domain of f(x)=sqrt((25-x^2)/(x+1))domain

f (x) = \frac{25 - x ^{2}}{x + 1}

domain of (7x+1)/(1+x)domain

\frac{7 x + 1}{1 + x}

domain of f(x)= 1/(x^2-5x-6)domain

f (x) = \frac{1}{x ^{2} - 5 x - 6}

Frequently Asked Questions (FAQ)

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