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Popular >

inverse of f(x)=2^{x/3}

Solution

inverse

f (x) = 2^{\frac{x}{3}}

Solution

\frac{3 ln ( x )}{ln ( 2 )}

Solution steps

y = 2^{\frac{x}{3}}

Replace

x

with

y

x = 2^{\frac{y}{3}}

Solve for

y, x = 2^{\frac{y}{3}}

\frac{3 ln ( x )}{ln ( 2 )}

Graph

Popular Examples

asymptotes of (x^2)/((x+2)(x-3))asymptotes

\frac{x ^{2}}{( x + 2 ) ( x - 3 )}

domain of f(x)=sqrt(49-x^2)domain

f (x) = 49 - x^{2}

domain of-30x^2+28x-6 domain

- 30 x^{2} + 28 x - 6

domain of f(x)=3(2)^x-4 domain

f (x) = 3 (2)^{x} - 4

inflection x+5/x inflection points

x + \frac{5}{x}

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=2^{x/3} ?
The inverse of f(x)=2^{x/3} is (3ln(x))/(ln(2))