Question 4
Indices and LogarithmsSimplify: (9 × 3n+1 − 3n+2)/(3n+1 − 3n)
- A.3
- B.9
- C.27
- D.81
Show the answer and explanation
Answer: B (9)
Explanation
Take out 3ⁿ: top = 3ⁿ(27 − 9) = 18 × 3ⁿ, bottom = 3ⁿ(3 − 1) = 2 × 3ⁿ. The answer is 9.
Simplify: (9 × 3n+1 − 3n+2)/(3n+1 − 3n)
Answer: B (9)
Take out 3ⁿ: top = 3ⁿ(27 − 9) = 18 × 3ⁿ, bottom = 3ⁿ(3 − 1) = 2 × 3ⁿ. The answer is 9.