evaluate ln e^5/2 without using a calculator

Question Description

I need help with a Algebra question. All explanations and answers will be used to help me learn.

evaluate ln e^5/2 without using a calculator. If the answer is not an integer, enter it as a fraction.

ln e^5/2=

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Final Answer

Ln e^5/2                     <Given expression>

(5/2)* Ln e                  <Exponential property of Logarithms:      Log a^n = n *Log a      or     Ln a^n = n* Ln a>

(5/2) * 1                     <Rule of Natural Logarithms:   Ln e = 1>

5/2                             <Final result>

Is 5/2 an integer?   It isn't.   It is already a fraction, meaning we leave it as it is for the answer.

SOLUTION:       5/2

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Cornell University

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