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JAMB UTME • 2024Past Question #14
If log⁡2(x2−1)=3\log_2(x^2 - 1) = 3, find the positive value of xx.

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1
Convert the log expression to index/exponential form: x2−1=23x^2 - 1 = 2^3.
2
Calculate the right hand side: 23=82^3 = 8, so x2−1=8x^2 - 1 = 8.
3
Add 1 to both sides: x2=9x^2 = 9.
4
Taking the positive square root: x=9=3x = \sqrt{9} = 3.
Exam Trap: Most candidates mistakenly multiply 2×3=62 \times 3 = 6 instead of 23=82^3 = 8, leading to x=7x = \sqrt{7} (Option B)!
Rule:Log Rule: log⁡b(y)=c  ⟺  y=bc\log_b(y) = c \iff y = b^c
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JAMB (UTME)180 Mins • 400 Marks

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UTME

JAMB UTME CBT 2026 • Center ID: 04928

Reg: 202684910294JF • CHUKWU, EMMANUEL O.

01:47:32Left
Question 2 of 40JAMB 2024 • Indices & Logarithms
Marks: 2.5
Evaluate log⁡1025+log⁡108−log⁡102\log_{10} 25 + \log_{10} 8 - \log_{10} 2 without using four-figure tables.
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Detected Question:
Find the roots of 2x2−7x+3=02x^2 - 7x + 3 = 0 using the quadratic formula.
Formula identified: x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}
Step 1: a=2, b=-7, c=3Discriminant: Δ = 25Roots: x = 3 or x = 0.5
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WAEC Gov: Constitutional Developments in Nigeria
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Medicine & Surgery (MBBS)

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Safe Target Score315/ 400 marks
Merit List Cut-off: ~315Top 3% national rank required
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