To find the common logarithm, also known as the base-10 logarithm, of 0.0472, we denote it as [tex]\(\log_{10}(0.0472)\)[/tex] or simply [tex]\(\log(0.0472)\)[/tex].
Here’s the step-by-step process to find the common logarithm and round it to four decimal places:
1. Identify the value for which we need to find the common logarithm:
- The value given is 0.0472.
2. Use the definition of the common logarithm:
- The common logarithm of a number [tex]\(x\)[/tex] is the power to which the base 10 must be raised to yield [tex]\(x\)[/tex].
3. Compute the logarithm value:
- For the given value of 0.0472, the common logarithm yields a specific numerical result.
4. Round the result to four decimal places:
- Once the logarithm value is calculated, round it to four decimal places to meet the requirement.
The common logarithm of 0.0472, [tex]\(\log(0.0472)\)[/tex], rounded to four decimal places, is:
[tex]\[
\log(0.0472) = -1.3261
\][/tex]
Thus, the solution is:
[tex]\[
\boxed{-1.3261}
\][/tex]
