NECO 2001 Mathematics · Question 22
Find the value of x in the equation: 9 = 729
Options
- A.81
- B.27
- C.18
- D.9
- E.3
Answer: E. 3
Explanation written with AI and checked against the answer key
Analyze the question: We need the power x such that 9 raised to x gives 729. Concept: Write both sides with the same base, then compare the powers. Solution: 729 = 9 × 81 = 9 × 9² = 9³ (Check: 9 × 9 = 81, and 81 × 9 = 729.) So 9ˣ = 9³, which gives x = 3. Check against the options: The value x = 3 is option E. Substituting back, 9³ = 729, which confirms it. The other options are far too large. For example, 9² = 81 is only 81, not 729. Tip: Memorise the common powers: 3⁶ = 729, so 9³ = 729 as well (since 9 = 3², giving 3⁶). Knowing powers of 2, 3, 5 and 9 up to about the 6th speeds up many NECO, WASSCE and JAMB index questions. Always try to express both sides with the same base.AI can make mistakes. Report anything that looks wrong.
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