Question

Simplify the expression shown below:

ln(e^3 x^4), where x>0

Answer 1

3+4 in x

Explanation:

Answer 2

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

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)`