Answer:
[tex]\large\boxed{\ln\sqrt[3]{e^4}=\dfrac{4}{3}}[/tex]
Step-by-step explanation:
[tex]\text{Use}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}\\\\\ln a^n=n\ln a\\\\\ln e=1\\-----------\\\\\ln\sqrt[3]{e^4}=\ln e^\frac{4}{3}=\dfrac{4}{3}\ln e=\dfrac{4}{3}\cdot1=\dfrac{4}{3}[/tex]
