Answer
$\frac{1}{2}$
Work Step by Step
A common logarithm is a logarithm to base 10. As shown on page 580, when a common logarithm is written in the form $log (x)$, this is equivalent to the expression $log_{10}x$.
Therefore, $log(\sqrt 10)=log_{10}\sqrt 10=\frac{1}{2}$. We know this, because $(10)^{\frac{1}{2}}=10^{\frac{1}{2}}=\sqrt 10$.