Solve for x e^(x+6)+5=1

$e^{x + 6} + 5 = 1$

Move all terms not containing $x$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$e^{x + 6} = 1 - 5$

Subtract $5$ from $1$ .

$e^{x + 6} = - 4$

Take the natural logarithm of both sides of the equation to remove the variable from the exponent.

$\ln (e^{x + 6}) = \ln (- 4)$

The equation cannot be solved because $\ln (- 4)$ is undefined.

Undefined

There is no solution for $e^{x + 6} = - 4$

No solution