Question 4
Indices and LogarithmsSimplify: ⅓log 8 + ⅓log 64 − 2log 6.
- A.log 2/7
- B.log 2
- C.log 2/9
- D.log 9
Show the answer and explanation
Answer: C (log 2/9)
Explanation
⅓log 8 = log 2, ⅓log 64 = log 4, 2log 6 = log 36. log(2 × 4/36) = log(2/9).
Simplify: ⅓log 8 + ⅓log 64 − 2log 6.
Answer: C (log 2/9)
⅓log 8 = log 2, ⅓log 64 = log 4, 2log 6 = log 36. log(2 × 4/36) = log(2/9).