The approximate value of $\mathbf{log}\mathbf{ }\mathbf{1331}$ is between which two integers? To which integer is the value closest? Explain. 

$$\begin{gathered} {10}^x=1331 \\ {10}^3=1000 {10}^4=10000 \end{gathered}$$

For $\log 1331$, x is between 3 and 4, but closer to 3 because 1,331 is closer to 1,000 than 10,000.