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Popular >

inverse of ln(1+e^x)

Solution

inverse

ln (1 + e^{x})

Solution

ln (e^{x} - 1)

Solution steps

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

Replace

x

with

y

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

Solve for

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

ln (e^{x} - 1)

Graph

Popular Examples

inverse of f(x)=6x-90 inverse

f (x) = 6 x - 90

inverse of f(x)=log_{e}(2x)inverse

f (x) = lo g_{e} (2 x)

inverse of f(x)=0.05 inverse

f (x) = 0.05

inverse of h(x)=(-x)^2 inverse

h (x) = (- x)^{2}

inverse of f(x)=log_{9}(-(x-3)/2)-1 inverse

f (x) = lo g_{9} (- \frac{x - 3}{2}) - 1

Frequently Asked Questions (FAQ)

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