Solve for x e^(x+9)=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.
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Subtract from both sides of the equation.
Subtract from .
Solve for x e^(x+9)=1/e

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