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Popular Functions >

inverse of f(x)=5^{x/3}

Solution

inverse

f (x) = 5^{\frac{x}{3}}

Solution

\frac{3 ln ( x )}{ln ( 5 )}

Solution steps

y = 5^{\frac{x}{3}}

Replace

x

with

y

x = 5^{\frac{y}{3}}

Solve for

y, x = 5^{\frac{y}{3}}

\frac{3 ln ( x )}{ln ( 5 )}

Graph

Popular Examples

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domain of y=sqrt(x+2)-2

domain of sqrt(-9-x)

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5^{x/3} ?
The inverse of f(x)=5^{x/3} is (3ln(x))/(ln(5))