Final answer:
Using the property of logarithms to rewrite and simplify the expression, we find that log 27 + log 8 - log 125 simplifies to log(1.728), which computes to 0.2375 in base 10. This does not match any of the given answer choices, suggesting there might be a typographical error or missing information in the original question.
Step-by-step explanation:
The mathematics question asks to evaluate an expression involving logarithms: log 27 + log 8 - log 125 divided by log 6 log 5. We can use the property of logarithms which states that the logarithm of the division of two numbers is the difference between the logarithms of the two numbers. Applying this rule, we rewrite the expression as log(27 \cdot 8 / 125) then calculate the result.
The expression simplifies to log(216 / 125), or log(1.728). Converting to base 10 and using logarithm properties, we can find that log 6 and log 5 are not relevant to evaluating the simplified expression unless there's missing information that implies a complex fraction.
For the given expression, calculating log(1.728) directly in base 10 gives us 0.2375, which doesn't match any of the given answer choices. Therefore, we may assume there is a typographical error or missing information in the question.