Question 2
LogarithmsSolve for x: log2(x + 1) + log2(x − 2) = 2
- A.1 + √5
- B.2 + √5
- C.3
- D.4
Show the answer and explanation
Answer: C (3)
Explanation
(x + 1)(x − 2) = 2² = 4, so x² − x − 6 = 0, giving x = 3 or −2. Logs need x − 2 > 0, so x = 3.
Solve for x: log2(x + 1) + log2(x − 2) = 2
Answer: C (3)
(x + 1)(x − 2) = 2² = 4, so x² − x − 6 = 0, giving x = 3 or −2. Logs need x − 2 > 0, so x = 3.