Question 9
LogarithmsSimplify 2log 2/5 − log 72/125 + log 9
- A.1 − 4 log 3
- B.−1 + 2 log 3
- C.−1 + 5 log 2
- D.1 − 2 log 2
Show the answer and explanation
Answer: D (1 − 2 log 2)
Explanation
Combine: log(4/25 × 125/72 × 9) = log(5/2) = log 10 − log 4 = 1 − 2 log 2.