Let \(f(n)\) be the base-10 logarithm of the sum of the elements of the \(n\)th row in Pascal's triangle. Express \(\frac{f(n)}{\log_{10} 2}\) in terms of \(n\).
The sum of the elements in the nth row of Pascal's Triangle = 2^n
The base 10 log of this is
log 2^n = n log 2
So
f(n) n log 2
____ = ______ = n
log 2 log 2
