# Solve for x e^(x+6)=1/e

Raise to the power of .
Move to the numerator using the negative exponent rule .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Move all terms not containing to the right side of the equation.
Subtract from both sides of the equation.
Subtract from .
Solve for x e^(x+6)=1/e