Question

Q1.find the value of 0.0275 * (9.207)^2 with the help of log

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Answer 1

Answer:

Happy independence day

Answer 2

Step-by-step explanation:

Given:

$\begin{gathered}0.0275 \times ( {9.207)}^{2} \\ \end{gathered}$

To find: Find the value using log.

Solution:

Let

$\begin{gathered}x = 0.0275 \times ( {9.207)}^{2} \\ \end{gathered}$

Take log both sides

$\begin{gathered} log(x) = log(0.0275 \times ( {9.207)}^{2}) \\ \end{gathered}$

Apply log properties

$\begin{gathered} \bold{log(ab) = log(a) + log(b) } \\ \bold{log( {a}^{n} ) = n log(a) }\\ \end{gathered}$

$\begin{gathered}log(x) = log(0.0275) + log ( {9.207)}^{2}\\ \\ log(x) = log(0.0275) + 2 log(9.207) \\ \\ \end{gathered}$

find value of log(0.0275) and log(9.207) from log table

$\begin{gathered}log(x) = -1.56+2\times 0.96\\ \\ log(x) = -1.56+1.93 \\ \\log(x)=0.37 \end{gathered}$

Take antilog to find the value of x

$\begin{gathered}x = {10}^{0.37} \\\\x=2.34\\\\ \end{gathered}$

Final answer:

$\begin{gathered}\bold{\red{0.0275 \times ( {9.207)}^{2}=2.34}} \\ \end{gathered}$

Hope it helps you.

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