# Calculus easy 1

**Algebra**Level 4

\[ \large e^{(x-k)}=\ln(x)+k \]

Find the minimum value of \(e^{k}\) such that the above equation has at least one solution.

Give your answer to 3 decimal places.

\[ \large e^{(x-k)}=\ln(x)+k \]

Find the minimum value of \(e^{k}\) such that the above equation has at least one solution.

Give your answer to 3 decimal places.

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