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Popular Functions >

inverse of f(x)=ln(e^x-1)-ln(2)-1

Solution

inverse

Solution

ln (2 e^{x + 1} + 1)

Solution steps

y = ln (e^{x} - 1) - ln (2) - 1

Replace

x

with

y

x = ln (e^{y} - 1) - ln (2) - 1

Solve for

y, x = ln (e^{y} - 1) - ln (2) - 1

ln (2 e^{x + 1} + 1)

Graph

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Frequently Asked Questions (FAQ)

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