Evaluate natural log of 1/(e^3)

Problem

ln(1/(e3))

Solution

1. Rewrite the fraction using negative exponents to simplify the expression inside the logarithm.

1/(e3)=e(−3)

2. Substitute the exponential form back into the natural logarithm.

ln(e(−3))

3. Apply the inverse property of logarithms, which states that ln(ex)=x

ln(e(−3))=−3

Final Answer

ln(1/(e3))=−3

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