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Popular >

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

Solution

inverse

f (x) = 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)

Popular Examples

range of (6x)/(x-2)range

\frac{6 x}{x - 2}

asymptotes of f(x)=tan(x/3)asymptotes

f (x) = tan (\frac{x}{3})

inverse of x+8 inverse

x + 8

domain of f(x)=(x*(x+1))/x-1 domain

f (x) = \frac{x \cdot ( x + 1 )}{x} - 1

intercepts of y=3x+4 intercepts

y = 3 x + 4

Frequently Asked Questions (FAQ)

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