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Popular Functions >

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

Solution

inverse

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

Solution

\frac{e ^{x}}{2 e ^{x} - 1}

Solution steps

y = ln (\frac{x}{2 x - 1})

Replace

x

with

y

x = ln (\frac{y}{2 y - 1})

Solve for

y, x = ln (\frac{y}{2 y - 1})

\frac{e ^{x}}{2 e ^{x} - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=ln(x/(2x-1)) ?
The inverse of f(x)=ln(x/(2x-1)) is (e^x)/(2e^x-1)