Question

Find the value of $\log 1000$.

Answer 1

Find the value

$\log 1000$ means${\log }_{10}\left(1000\right)$

$$\begin{gathered} {\log }_{10}\left(1000\right)=\log \left({10}^3\right) \\ \Rightarrow {\log }_{10}\left(1000\right)=3\times \log \left(10\right)\left[\because log\left(a^b\right)=blog\left(a\right)\right] \\ \Rightarrow {\log }_{10}\left(1000\right)=3\left[\because \log \left(10\right)=1\right] \end{gathered}$$

Hence, the required answer is $\mathbf{3}$.