Evaluate natural log of 1/(e^7)

Problem

ln(1/(e7))

Solution

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

1/(e7)=e(−7)

2. Substitute the rewritten expression back into the natural logarithm.

ln(e(−7))

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

ln(e(−7))=−7

Final Answer

ln(1/(e7))=−7

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