Show (logn)(logn)=2(logn)(log(logn))I am having difficulty understanding how this follows.(logn)(logn)=2(logn)(log(logn))=nloglognWhich logarithmic identities are used to go...
I am having difficulty understanding how this follows.
Which logarithmic identities are used to go through each equality?
e.g. how do you first go from
and then to
(The log base must be 2 or else this equality won't hold)
Answer & Explanation
,whenever LHS is defined.
So your equality follows if the logarithm here is taken in base and not , as you wrote...
Taking the logarithm (in base 2) of both sides
Now, remember that . Thus
Also recall that . Thus