Question

Natural Logs Propertydo not include any spaces when trying to type in your answer if you have an exponent use ^

Answer 1

Given:

`ln\mleft(e^(2x)\mright)+ln\mleft(e^x\mright)`

To simplify:

Applying the log rule,

`\log _c\mleft(a\mright)+\log _c\mleft(b\mright)=\log _c\mleft(ab\mright)`

We get,

`\begin{gathered} ln(e^(2x))+ln(e^x)=\ln (e^(2x)\cdot e^x) \\ =\ln (e^(3x)) \\ =3x(\ln e) \\ =3x(1) \\ =3x \end{gathered}`

Hence, the answer is 3x.