Certainly! Let's approximate the common logarithms for the given numbers based on the numerical results obtained.
(a) To find the logarithm of 236.2:
[tex]\[
\log(236.2) \approx 2.3733
\][/tex]
So, when rounded to four decimal places, the approximation of [tex]\(\log(236.2)\)[/tex] is 2.3733.
(b) To find the logarithm of 23.62:
[tex]\[
\log(23.62) \approx 1.3733
\][/tex]
Thus, the approximation of [tex]\(\log(23.62)\)[/tex] rounded to four decimal places is 1.3733.
(c) To find the logarithm of 2.362:
[tex]\[
\log(2.362) \approx 0.3733
\][/tex]
So, the approximation of [tex]\(\log(2.362)\)[/tex] when rounded to four decimal places is 0.3733.
To summarize:
- [tex]\(\log(236.2) \approx 2.3733\)[/tex],
- [tex]\(\log(23.62) \approx 1.3733\)[/tex],
- [tex]\(\log(2.362) \approx 0.3733\)[/tex].
These results have been rounded to four decimal places as required.
