Answer:
Final answer is [tex]3+4\ln(x)[/tex]
Step-by-step explanation:
Given expression is [tex]\ln(e^3x^4)[/tex], where x>0
Now we need to simplify that expression.
Apply formula [tex]\ln(AB)=\ln(A)+\ln(B)[/tex]
[tex]=\ln(e^3)+\ln(x^4)[/tex]
Apply formula [tex]\ln(x^m)=m\ln(x)[/tex]
[tex]=3\ln(e)+4\ln(x)[/tex]
Apply formula [tex]\ln(e)=1[/tex]
[tex]=3(1)+4\ln(x)[/tex]
[tex]=3+4\ln(x)[/tex]
Hence final answer is [tex]3+4\ln(x)[/tex]
