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Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4

Evaluate each logarithm. Do not use a calculator. ln ^3 square root e^4-example-1
User Xanadont
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1 Answer

3 votes

Answer:


\large\boxed{\ln\sqrt[3]{e^4}=(4)/(3)}

Explanation:


\text{Use}\\\\\sqrt[n]{a^m}=a^(m)/(n)\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^(4)/(3)=(4)/(3)\ln e=(4)/(3)\cdot1=(4)/(3)

User Teebs
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