Evaluate natural log of 1/(e^4)

Problem

ln(1/(e^4))

Solution

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

1/(e^4)=e^(−4)

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

ln(e^(−4))

3. Apply the property of logarithms ln(e^x)=x which states that the natural logarithm and the exponential function are inverses.

ln(e^(−4))=−4

Final Answer

ln(1/(e^4))=−4

Want more problems? Check here!