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Popular Functions >

inverse of ln(x)-ln(x-1)

Solution

inverse

ln (x) - ln (x - 1)

Solution

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

Solution steps

y = ln (x) - ln (x - 1)

Replace

x

with

y

x = ln (y) - ln (y - 1)

Solve for

y, x = ln (y) - ln (y - 1)

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

Graph

Popular Examples

parity ln(sec(x)+tan(x))+sin(x)

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critical sqrt(x)-sqrt(x^3)

domain of f(x)=-x+9

parity f(x)=3x^3+3x

Frequently Asked Questions (FAQ)

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