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Popular Functions >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

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Frequently Asked Questions (FAQ)

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