Solve the following by using log table:
(213.768*4.434)/6.321

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Please find below the solution to the asked query:

$$\begin{gathered} \mathrm{We} \mathrm{have} \\ \mathrm{x}=\frac{213.768\times 4.434}{6.321} \\ \mathrm{Take} \log \mathrm{with} \mathrm{base} 10 \mathrm{on} \mathrm{both} \mathrm{sides} \\ \log \left(\mathrm{x}\right)=\log \left(\frac{213.768\times 4.434}{6.321}\right) \\ \Rightarrow \log \left(\mathrm{x}\right)=\log \left(213.768\times 4.434\right)-\log \left(6.321\right) \left[\mathrm{We} \mathrm{have} \log \left(\frac{\mathrm{a}}{\mathrm{b}}\right)=\log \left(\mathrm{a}\right)-\log \left(\mathrm{b}\right)\right] \\ =\log \left(213.768\right)+\log \left(4.434\right)-\log \left(6.321\right) \left[\mathrm{As} \log \left(\mathrm{a}\times \mathrm{b}\right)=\log \left(\mathrm{a}\right)+\log \left(\mathrm{b}\right)\right] \\ \mathrm{Now} \mathrm{you} \log \mathrm{table} \mathrm{to} \mathrm{calculate} \mathrm{above} \mathrm{values} \\ \log \left(213.768\right)=2.3299 \\ \log \left(4.434\right)=0.6467 \\ \log \left(6.321\right)=0.8007 \\ \Rightarrow \log \left(\mathrm{x}\right)=2.3299+0.6467-0.8007 \\ \Rightarrow \log \left(\mathrm{x}\right)=2.175 \\ \Rightarrow \mathrm{x}=\mathrm{Antilog}\left(2.175\right) \\ \Rightarrow \mathrm{x}=149.6235 \end{gathered}$$

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