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Popular >

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 )}

Popular Examples

inverse of f(x)=ln(2x)-8 inverse

f (x) = ln (2 x) - 8

inverse of f(x)=sqrt(-2x+3)inverse

f (x) = - 2 x + 3

inverse of f(x)=9(x-8)inverse

f (x) = 9 (x - 8)

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

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

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

y = x + 2 - 2

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))