\(\text{Let $f(n)$ be the base-10 logarithm of the sum of the elements of the $n$th row in Pascal's triangle. Express $\frac{f(n)}{\log_{10} 2}$ in terms of $n$. Recall that Pascal's triangle begins}\)
+26367 help!
\(\text{Let $f(n)$ be the base-10 logarithm of the sum of the elements of the $n$th row in Pascal's triangle.$\\$Express $\frac{f(n)}{\log_{10} 2}$ in terms of $n$. Recall that Pascal's triangle begins}\)
\(\begin{array}{|rcll|} \hline f(n) &=& \log_{10} 2^n \\ \mathbf{f(n)} &=& \mathbf{n\log_{10} 2} \\ \hline \end{array} \)
\(\begin{array}{|rcll|} \hline \dfrac{f(n)}{\log_{10} 2} &=& \dfrac{n\log_{10} 2}{\log_{10} 2} \\\\ \mathbf{\dfrac{f(n)}{\log_{10} 2} } &=& \mathbf{n} \\ \hline \end{array}\)
