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Popular >

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})

Popular Examples

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

f (x) = 2 e^{3 x}

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

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

inverse of y=10x-2 inverse

y = 10 x - 2

inverse of f(x)=((x-5))/2 inverse

f (x) = \frac{( x - 5 )}{2}

inverse of f(x)=\sqrt[3]{9(x-9)}inverse

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)