Suppose that $\ u=\log_{10}{(2)} \ $ and $\ v=\log_{10}{(5)}$. Find possible formulas for the following expressions in terms of $u$ and/or $v$. Your answers should NOT involve any $\log{ \ }$'s.

a) $\log_{10}{(0.4)} =$

b) $\log_{10}{(12.5)} =$

c) $\log_{10}{(80)} =$

d) $\log_{10}{(\sqrt{1000})} =$