Question

ln(e^(3)x^(4))
ln e^3 + ln x^4
=
3 + ln x^4 ?

Answer 1

and ln(x^4) = 4 ln(x)
so
3 + 4 ln(x)

Answer 2

Oh, okay.
thank you again.

Answer 3

the idea is, for example,
ln(x^3) = ln(x*x*x) = ln(x) + ln(x) + ln(x) =3 ln(x)

Answer 4

So it's like saying.
\[\large \ln~a^b = \ln~ba\]

Answer 5

\[\large b~ \ln a\]
correction*