Question 5: Find the values of the following with the help of logarithm table:
\((i)\) \(\quad\) \(\large{\frac{3.68\times 4.21}{5.234} }\)
Solution:
Let
\[x=\frac{3.68\times 4.21}{5.234}\]
Taking logarithm on both sides, we get
\[
\begin{align*}
\log x&=\log\left(\frac{3.68\times 4.21}{5.234}\right)\\
&=\small{\log 3.68+\log 4.21-\log 5.234}\\
&=0.5658+0.6243-0.7188\\
&=0.4713\\
\end{align*}
\]
Taking antilog on both sides, we get
\[
\begin{align*}
\text{anti-log}(\log x) &=\text{anti-log}( 0.4713)\\
x&=2.960\\
\end{align*}
\]