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Popular Functions >

inverse of f(x)=ln(1+e^{2x})

Solution

inverse

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

Solution

\frac{ln ( e ^{x} - 1 )}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{ln ( e ^{x} - 1 )}{2}

Graph

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Frequently Asked Questions (FAQ)

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