Let \(f(n)\) be the base-10 logarithm of the sum of the elements of the n-th row in Pascal's triangle. Express \(\frac{f(n)}{\log 2}\) in terms of n
The sum of the elements in the nth row of Pascal's triangle is just 2^n
So....
log 2^n = n*log(2)
So f(n) = n*log (2)
And f(n) / log 2 = n*log (2) / log(2) = n
Thanks!