Find the value of p which satisfies the relation log2(p-1) + 2 =log2(3p+1)
2023
Find the value of p which satisfies the relation log2(p-1) + 2 =log2(3p+1)
- A.
1
- B.
3
- C.
5
- D.
7
Attempted by 40 students.
Show answer & explanation
Correct answer: C
Solution: log₂(p-1) + 2 = log₂(3p+1)
⇨ log₂(p-1) + log₂(2²) = log₂(3p+1) (∵ Log₂ 2² = 2 )
⇨ log₂ 2² (p-1) = log₂ (3p+1) (∵ Log a⁺ log b = log ab )
⇨ 4p-4 = 3p+1
⇨ P = 5