Evaluate natural log of 2x

Problem

ln(2*x)

Solution

1. Identify the expression as the natural logarithm of a product, which is written as ln(2*x)

2. Apply the product rule for logarithms, which states that ln(a*b)=ln(a)+ln(b)

3. Expand the expression by letting a=2 and b=x

4. Simplify the result into the sum of two separate logarithmic terms.

Final Answer

ln(2*x)=ln(2)+ln(x)

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