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Popular >

inverse of y=ln(x/(x-1))

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

Popular Examples

inverse of f(x)=(8x-7)/(7x+3)inverse

f (x) = \frac{8 x - 7}{7 x + 3}

inverse of f(p)=sqrt(p-38)inverse

f (p) = p - 38

inverse of (-x+5)/4 inverse

\frac{- x + 5}{4}

inverse of f(x)=1.6x+1.9(50-x)inverse

f (x) = 1.6 x + 1.9 (50 - x)

inverse of 3-sqrt(5-x)inverse

3 - 5 - x

Frequently Asked Questions (FAQ)

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