Calculus Examples

$\ln (x) = e^{- x}$

Step 1

Subtract $e^{- x}$ from both sides of the equation.

$\ln (x) - e^{- x} = 0$

Step 2

Set the argument in $\ln (x)$ less than or equal to $0$ to find where the expression is undefined.

$x \leq 0$

Step 3

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x \leq 0$

$(- \infty, 0]$

Step 4