Evaluate Log\(_2\) 8√2
A
3.0
B
4.5
C
3.5
D
2.5
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
where Log\(_2\) 8\sqrt2 → Log\(_2\) \sqrt128
→ 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
Source: WAEC / JAMB / NECO Classroom Archive (Record #64276)