Final answer:
Due to a potential typo, the common logarithm of 20.175 cannot be calculated as given because the logarithm of a number greater than 1 should be positive. The negative options provided suggest the actual number to calculate the log for should be less than 1. Without a correct number or calculator, the accurate answer cannot be determined from the provided options.
Step-by-step explanation:
The student is asking to calculate the common logarithm of 20.175. The common logarithm is the logarithm with base 10, often denoted as log(x) or log10(x). To find the value of log(20.175), we would typically use a calculator with logarithm functionality. However, since the options provided are all negative values, we know that the given number must be incorrect since the logarithm of a number greater than 1 is positive. We also know that the common logarithm of a number less than 1 is negative, and our provided list includes an example: the common logarithm of 0.03918 is approximately -1.4069.
Therefore, the provided answer choices suggest there might be a mistake with the given number, 20.175. If we were to instead calculate log(0.20175), we would get a negative result. However, since we're not provided with a method to calculate or the precise value of log(0.20175) and we are supposed to ignore any typos, it's possible that one of the negative options is correct for the intended question, which might involve a different number less than 1.
Without the right number to evaluate, or access to a calculator to check the options against the correct number, we cannot accurately determine which option is correct.