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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
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Correct Answer: Option C
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

There is an explanation video available below.


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