For a natural number $A$, let the characteristic of $\log A$ be $n$ and the mantissa be $\alpha$. Find the number of values of $A$ such that $n \leqq 2\alpha$ holds. (Given: $3.1 < \sqrt { 10 } < 3.2$) [4 points]
For a natural number $A$, let the characteristic of $\log A$ be $n$ and the mantissa be $\alpha$. Find the number of values of $A$ such that $n \leqq 2\alpha$ holds.\\
(Given: $3.1 < \sqrt { 10 } < 3.2$) [4 points]