Question 36
Indices and LogarithmsSolve: 32x − 3x+2 = 3x+1 − 27.
- A.1 or 0
- B.1 or 2
- C.1 or −2
- D.−1 or 2
Show the answer and explanation
Answer: B (1 or 2)
Explanation
Let p = 3ˣ: p² − 9p = 3p − 27, so p² − 12p + 27 = 0, p = 3 or 9. x = 1 or 2.
Solve: 32x − 3x+2 = 3x+1 − 27.
Answer: B (1 or 2)
Let p = 3ˣ: p² − 9p = 3p − 27, so p² − 12p + 27 = 0, p = 3 or 9. x = 1 or 2.