How do you simplify ln 3 − 2(ln 4 + ln 8)?

1 Answer
May 24, 2018

ln3-2(ln4+ln8)=ln(3/1024)

Explanation:

We use the identities lna+lnb=ln(ab), mlna=lna^m and lna-lnb=ln(a/b)

Hence ln3-2(ln4+ln8)

= ln3-2ln(4*8)

= ln3-2ln32

= ln3-ln(32^2)

= ln(3/32^2)

= ln(3/1024)