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Evaluate e^( natural log of 1/2)

Problem

eln(1/2)

Solution

  1. Identify the mathematical property of inverse functions, specifically that the natural exponential function ex and the natural logarithmic function ln(x) are inverses of each other.

  2. Apply the identity eln(x)=x for any x>0

  3. Substitute the value x=1/2 into the identity to simplify the expression.

Final Answer

eln(1/2)=1/2


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