Question 9: Find the values of the following with the help of logarithm table:
\((ii)\) \(\quad\) \(319.8\times 3.543\)
Solution:
Let
\[x=319.8\times 3.543\]
Taking logarithm on both sides, we have
\[
\begin{align*}
\log x&=\log( 319.8\times 3.543)\\
&=\log 319.8+\log 3.543\\
&=2.5049+0.549\\
&=3.0539\\
\end{align*}
\]
Taking anti-logarithm on both sides, we have
\[
\begin{align*}
x&=\text{anti-logarithm}(3.0539)\\
x&=1132
\end{align*}
\]