Given:
[tex]\ln(e^3)[/tex]
To find:
The equivalent expression.
Explanation:
Using the log rule,
[tex]\ln a^b=b\cdot\ln a[/tex]
So, we write,
[tex]\ln(e^3)=3\cdot\ln(e)[/tex]
We know that,
[tex]\ln(e)=1[/tex]
Using this we get,
[tex]\begin{gathered} \Rightarrow3(1) \\ \Rightarrow3 \end{gathered}[/tex]
Therefore, the equivalent expressions are,
[tex]3\cdot\ln(e)\text{ and }3[/tex]
Final answer:
The correct options are A and D.
