Let be f(n) be the base-10 logarithm of the sum of the elements of the nth row in Pascal's triangle.

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 \(n\). Recall that Pascal's triangle begins

1   -> n=0

1     1   -> n=0

1     2     1   -> n=0

1     3     3     1   -> n=0

1     4     6     4     1   -> n=0

...                           ...