Evaluate Log\(_2\) 8 √2
MATHEMATICS
JAMB 2022
Evaluate Log\(_2\) 8√2
- A. 3.0
- B. 4.5
- C. 3.5
- D. 2.5
Correct Answer: C. 3.5
Explanation
where Log\(_2\) 8√2 → Log\(_2\) √128
→ Log\(_2\) 128\(^\frac{1}{2}\)
= \(\frac{1}{2}\) * (Log\(_2\) 128) → \(\frac{1}{2}\) * (Log\(_2\) 2\(^7\))
= 7 * \(\frac{1}{2}\) * (Log\(_2\) 2)
where (Log\(_2\) 2) = 1
→ 7 * \(\frac{1}{2}\) * 1
= \(\frac{7}{2}\) or 3.5
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