Question

Find the value of$\log 1$ to the base $3$ ?

Answer 1

Find the value.

The definition of the log is

$$\begin{gathered} \Rightarrow {\log }_{b}a=x \\ \Rightarrow a=b^x \end{gathered}$$

So,

$$\begin{gathered} {\log }_{3}1=x \\ \Rightarrow 1=3^x \end{gathered}$$

For, the given condition only possible value of $x$ is $0$. [$\because y^0=1$]

Hence, the required value of $\log 1$ to the base $3$ is $0$ .