Question

Simplify the expression shown below: ln(e^3 x^4), where x>0

Answer 1

Answer:

Final answer is $3+4\ln(x)$

Step-by-step explanation:

Given expression is $\ln(e^3x^4)$, where x>0

Now we need to simplify that expression.

Apply formula $\ln(AB)=\ln(A)+\ln(B)$

$=\ln(e^3)+\ln(x^4)$

Apply formula $\ln(x^m)=m\ln(x)$

$=3\ln(e)+4\ln(x)$

Apply formula $\ln(e)=1$

$=3(1)+4\ln(x)$

$=3+4\ln(x)$

Hence final answer is $3+4\ln(x)$