Simplify/Condense natural log of e^6

Problem

ln(e6)

Solution

1. Identify the expression as a natural logarithm of a power of the base e

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

3. Substitute the values into the rule to get 6*ln(e)

4. Evaluate the natural logarithm of e knowing that ln(e)=1

5. Simplify the resulting product 6⋅1 to find the final value.

Final Answer

ln(e6)=6

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