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Popular Functions >

inverse of ln((x-5)/(x-3))

Solution

inverse

ln (\frac{x - 5}{x - 3})

Solution

\frac{- 5 + 3 e ^{x}}{e ^{x} - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 5 + 3 e ^{x}}{e ^{x} - 1}

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the inverse of ln((x-5)/(x-3)) ?
The inverse of ln((x-5)/(x-3)) is (-5+3e^x)/(e^x-1)