Chemical equations and calculations

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Question

Solve $\frac{1.4325×0.6062}{72.14}$ with the help of log tables.

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Solution

Let $x=\frac{1.4325×0.6062}{72.14}$. Taking logs of both sides, we get:Here mantissa is negative. To make it positive, we subtract $1$ and add $1.$ So, we have:     $\mathrm{log}x=-1-1+1-0.9196=\overline{2}.0804.$Taking antilog of both sides, we get : $x=$ antilog $\overline{2}.0804=0.01203$ Ans.Second method. By the use of calculator, we have       $\begin{array}{r}\mathrm{log}x=\mathrm{log}1.4325+\mathrm{log}0.6062-\mathrm{log}72.14\\ =0.1559-0.2174-1.8582=-1.9197\end{array}$Here mantissa is negative. To make it positive, we subtract $1$ and add $1.$ So, we have:          $\mathrm{log}x=-1-1+1-0.9197=\overline{2}.0803$Taking antilog of both sides, we get,            $x=$antilog $\overline{2}.0803=0.01203$ Ans.

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Solve $\mathrm{log}112×56×0.0417$