Question 5: Find the values of the following with the help of logarithm table:
\((ii)\) \(\quad\) \(4.67\times 2.11\times 2.397\)
Solution:
Let
\[x=4.67\times 2.11\times 2.397\]
Taking logarithm on both sides, we get
\[
\begin{align*}
\log x&=\log( 4.67\times 2.11\times 2.397)\\
&=\small{\log 4.67+\log 2.11+\log 2.397}\\
&=0.6693+0.3243+0.3797\\
&=1.3733\\
\end{align*}
\]
Taking antilog on both sides, we get
\[
\begin{align*}
\text{anti-log}(\log x) &=\text{anti-log}( 1.3733)\\
x&=23.62\\
\end{align*}
\]