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Inverse of $$$y = e^{x}$$$
The calculator will try to find the inverse of the function $$$y = e^{x}$$$, with steps shown.
Related calculator: Inverse Function Calculator
Solution
To find the inverse function, swap $$$x$$$ and $$$y$$$, and solve the resulting equation for $$$y$$$.
This means that the inverse is the reflection of the function over the line $$$y = x$$$.
If the initial function is not one-to-one, then there will be more than one inverse.
So, swap the variables: $$$y = e^{x}$$$ becomes $$$x = e^{y}$$$.
Now, solve the equation $$$x = e^{y}$$$ for $$$y$$$.
$$$y = \ln\left(x\right)$$$