#### Answer

9.6776

#### Work Step by Step

We know that logarithms to base 10 are common logarithms, and $log_{10}x$ is equivalent to $log(x)$.
Therefore, $log(4.76\times10^{9})=log_{10}(4.76\times10^{9})$.
We know that for all positive numbers $a$ (where $a\ne1$), and all positive numbers $x$, $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $log_{10}(4.76\times10^{9})=9.6776$, because $10^{9.6776}=10^{(4.76\times10^{9})}$.