To find the value of [tex]\(\log 43\)[/tex] using a calculator and then rounding it to the nearest tenth, follow these steps:
1. Calculate the Common Logarithm of 43:
- Using a calculator, find [tex]\(\log 43\)[/tex].
- The value obtained is approximately [tex]\(1.6334684555795864\)[/tex].
2. Round the Result to the Nearest Tenth:
- When rounding to the nearest tenth, we look at the first digit after the decimal point.
- Here, the digit after the decimal point is 6 (from [tex]\(1.6334684555795864\)[/tex]).
- Since 6 is greater than or equal to 5, we round up the digit in the tenths place.
Therefore, the value of [tex]\(\log 43\)[/tex] rounded to the nearest tenth is approximately [tex]\(1.6\)[/tex].
From the given options,
[tex]\[- 0.6\][/tex]
[tex]\[- 1.6\][/tex]
[tex]\[- 3.8\][/tex]
[tex]\[- 4.7\][/tex]
The correct answer is:
[tex]\[1.6\][/tex]
