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Popular Functions >

inverse of f(x)=5ln((x+2)/3)

Solution

inverse

f (x) = 5 ln (\frac{x + 2}{3})

Solution

e^{\frac{x}{5}} \cdot 3 - 2

Solution steps

y = 5 ln (\frac{x + 2}{3})

Replace

x

with

y

x = 5 ln (\frac{y + 2}{3})

Solve for

y, x = 5 ln (\frac{y + 2}{3})

e^{\frac{x}{5}} \cdot 3 - 2

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5ln((x+2)/3) ?
The inverse of f(x)=5ln((x+2)/3) is e^{x/5}*3-2