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Use a calculator to find approximations of the common logarithms.

(a) [tex]\(\log (236.2)\)[/tex]
(b) [tex]\(\log (23.62)\)[/tex]
(c) [tex]\(\log (2.362)\)[/tex]

(a) [tex]\(\log (236.2) \approx\)[/tex]
(Simplify your answer. Round to four decimal places as needed.)

Sagot :

GinnyAnswer
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.
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