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Popular Functions >

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 )}

Graph

Popular Examples

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

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

d o main 3 x + 7

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

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

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

d o main \frac{7 x + 1}{1 + x}

inverse of log_{10}(x+4)

in v erse lo g_{10} (x + 4)

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))