Evaluate $\mathrm{Log}_{2}\,8\mathbf{\sqrt{2}}$

Assessment: JAMB UTME - Mathematics - 2022 Subject: General Mathematics

Question 1 Report

3.0

4.5

3.5

2.5

Answer Details

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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