Question

ln 3x^2 over (x+1)^10

what its expand?

Answer 1

\[\ln \left( \frac{3x^2}{(x+1)^{10}} \right)\]
yes?

Answer 2

yes thats the statement

Answer 3

This is equal to
=ln(3x^2) - ln[ (x+1)^10 ]
=ln 3 + ln(x^2) - 10.ln(x+1)
=ln 3 + 2.ln x - 10.ln(x+1)

Answer 4

because

A) ln(ab) = ln a + ln b
B) ln(a^b) = b.ln a

Answer 5

from B) it follows also that

C) ln(1/b) = - ln b

and from A) and B)

D) ln(a/b) = ln a - ln b

I used all four A)-D) above

Answer 6

thank you :)