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Popular >

inverse of f(x)=2^{x/4}

Solution

inverse

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

Solution

\frac{4 ln ( x )}{ln ( 2 )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{4 ln ( x )}{ln ( 2 )}

Popular Examples

domain of 8x+2 domain

8 x + 2

asymptotes of sqrt(2x-5)asymptotes

2 x - 5

perpendicular x+3y=5,(2,5)perpendicular

x + 3 y = 5, (2, 5)

range of 1+x+2x^2-x^3 range

1 + x + 2 x^{2} - x^{3}

inverse of f(x)=sqrt(2-x)+9 inverse

f (x) = 2 - x + 9

Frequently Asked Questions (FAQ)

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