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Popular Functions >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

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Frequently Asked Questions (FAQ)

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