Final answer:
None of the provided options for the logarithm calculations are correct because when the properties of logarithms are applied to each, the resulting values do not match any of the given options.
Step-by-step explanation:
To find the indicated logarithm, we can use the properties of logarithms which state that the logarithm of 1 is always 0, and the logarithm of a quotient is the difference of the logarithms (log a - log b). Hence, for each option, we perform the following calculations:
- A) log 1 - log 12 = 0 - log 12, which is not equal to -1.1.
- B) log 1 - log 12 = 0 - log 12, which is not equal to 1.1 since log 12 is positive.
- C) log 1 + log 12 = 0 + log 12, which simplifies to log 12. Since log 12 is not equal to 1.1, this option is incorrect.
- D) log 1 + log 12 = 0 + log 12, and we need to know log 12 to see if it equals 2.1. Using a calculator, we find that log 12 ≈ 1.0792, so this option does not equal 2.1.
None of the given options are correct.