Question 9: Find the values of the following with the help of logarithm table:
\((iii)\) \(\quad\) \(\large{\frac{36.12\times 750.9}{113.2\times 9.98}}\)
Solution:
Let
\[x=\frac{36.12\times 750.9}{113.2\times 9.98}\]
Taking logarithm on both sides, we have
\[\log x=\log\left(\frac{36.12\times 750.9}{113.2\times 9.98}\right)\]
\[
\begin{align*}
&=\small{\log( 36.12\times 750.9) -\log( 113.2\times 9.98)}\\
&=\scriptsize{\log 36.12+\log 750.9-\log 113.2-\log 9.98}\\
&=\small{1.5577+2.8756-2.0538-0.9991}\\
&=1.3804
\end{align*}
\]
Taking anti-logarithm on both sides, we have
\[
\begin{align*}
x&=\text{anti-logarithm}(1.3804)\\
x&=24.01
\end{align*}
\]