Year 12s: what will be the first way you research your future options? >>

Question involving Natural Log and Summutations

Hello.

First of all, here is the question:

Find

\displaystyle\sum_{i=1}^n ln(2^i)

(whereby n = 50) , giving the answer in the form a ln 2, whereby a is an element of Q.

Okay, so i've never seen a question of this type before.

I don't even know where to start!

I know the log laws (although, I'm not supposed to use change of base).

Can someone please hint me in the right direction?

Thanks,
crayzrocker

(edited 13 years ago)

Reply 1

Scipio90

ln(2^i) = i ln 2