Simplify/Condense natural log of e^(5x)

Problem

ln(e^(5*x))

Solution

1. Identify the expression as a natural logarithm of an exponential function with base e

2. Apply the inverse property of logarithms, which states that ln(e^u)=u for any real number u

3. Substitute 5*x for u to simplify the expression.

Final Answer

ln(e^(5*x))=5*x

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