Evaluate Log 2 8 2 - JAMB Mathematics 2022 Question
Evaluate Log\(_2\) 8√2
A
3.0
B
4.5
C
3.5
D
2.5
correct option: c
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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